Finding the Third Proportional to 31,111 and 46,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,111 : 46,921.50 = 46,921.50 : x
2. Step 2: Convert to fraction form
   31,111/46,921.50 = 46,921.50/x
3. Step 3: Cross multiply
   31,111x = 46,921.50 × 46,921.50
4. Step 4: Simplify right side
   31,111x = 2,201,627,162.25
5. Step 5: Solve for x
   x = 2,201,627,162.25/31,111
6. Step 6: Final answer
   x = 70,766.84