Finding the Third Proportional to 31,835,646 and 68,213,772

Step by Step Solution

1. Step 1: Write the proportion equation
   31,835,646 : 68,213,772 = 68,213,772 : x
2. Step 2: Convert to fraction form
   31,835,646/68,213,772 = 68,213,772/x
3. Step 3: Cross multiply
   31,835,646x = 68,213,772 × 68,213,772
4. Step 4: Simplify right side
   31,835,646x = 4,653,118,690,467,984
5. Step 5: Solve for x
   x = 4,653,118,690,467,984/31,835,646
6. Step 6: Final answer
   x = 146,160,649.31