Finding the Third Proportional to 31,411.50 and 65,921.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,411.50 : 65,921.25 = 65,921.25 : x
2. Step 2: Convert to fraction form
   31,411.50/65,921.25 = 65,921.25/x
3. Step 3: Cross multiply
   31,411.50x = 65,921.25 × 65,921.25
4. Step 4: Simplify right side
   31,411.50x = 4,345,611,201.56
5. Step 5: Solve for x
   x = 4,345,611,201.56/31,411.50
6. Step 6: Final answer
   x = 138,344.59