Finding the Third Proportional to 32,842.50 and 68,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,842.50 : 68,020.50 = 68,020.50 : x
2. Step 2: Convert to fraction form
   32,842.50/68,020.50 = 68,020.50/x
3. Step 3: Cross multiply
   32,842.50x = 68,020.50 × 68,020.50
4. Step 4: Simplify right side
   32,842.50x = 4,626,788,420.25
5. Step 5: Solve for x
   x = 4,626,788,420.25/32,842.50
6. Step 6: Final answer
   x = 140,878.08