Finding the Third Proportional to 8,077.50 and 17,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,077.50 : 17,842.50 = 17,842.50 : x
2. Step 2: Convert to fraction form
   8,077.50/17,842.50 = 17,842.50/x
3. Step 3: Cross multiply
   8,077.50x = 17,842.50 × 17,842.50
4. Step 4: Simplify right side
   8,077.50x = 318,354,806.25
5. Step 5: Solve for x
   x = 318,354,806.25/8,077.50
6. Step 6: Final answer
   x = 39,412.54