Finding the Third Proportional to 31,104,216 and 67,824,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,104,216 : 67,824,648 = 67,824,648 : x
2. Step 2: Convert to fraction form
   31,104,216/67,824,648 = 67,824,648/x
3. Step 3: Cross multiply
   31,104,216x = 67,824,648 × 67,824,648
4. Step 4: Simplify right side
   31,104,216x = 4,600,182,876,323,904
5. Step 5: Solve for x
   x = 4,600,182,876,323,904/31,104,216
6. Step 6: Final answer
   x = 147,895,798.96