Finding the Third Proportional to 30,902.50 and 71,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,902.50 : 71,417.50 = 71,417.50 : x
2. Step 2: Convert to fraction form
   30,902.50/71,417.50 = 71,417.50/x
3. Step 3: Cross multiply
   30,902.50x = 71,417.50 × 71,417.50
4. Step 4: Simplify right side
   30,902.50x = 5,100,459,306.25
5. Step 5: Solve for x
   x = 5,100,459,306.25/30,902.50
6. Step 6: Final answer
   x = 165,050.05