Finding the Third Proportional to 31,292 and 65,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,292 : 65,173.50 = 65,173.50 : x
2. Step 2: Convert to fraction form
   31,292/65,173.50 = 65,173.50/x
3. Step 3: Cross multiply
   31,292x = 65,173.50 × 65,173.50
4. Step 4: Simplify right side
   31,292x = 4,247,585,102.25
5. Step 5: Solve for x
   x = 4,247,585,102.25/31,292
6. Step 6: Final answer
   x = 135,740.29