Finding the Third Proportional to 31,269 and 63,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,269 : 63,694.50 = 63,694.50 : x
2. Step 2: Convert to fraction form
   31,269/63,694.50 = 63,694.50/x
3. Step 3: Cross multiply
   31,269x = 63,694.50 × 63,694.50
4. Step 4: Simplify right side
   31,269x = 4,056,989,330.25
5. Step 5: Solve for x
   x = 4,056,989,330.25/31,269
6. Step 6: Final answer
   x = 129,744.77