Finding the Third Proportional to 17,617.50 and 38,498.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,617.50 : 38,498.63 = 38,498.63 : x
2. Step 2: Convert to fraction form
   17,617.50/38,498.63 = 38,498.63/x
3. Step 3: Cross multiply
   17,617.50x = 38,498.63 × 38,498.63
4. Step 4: Simplify right side
   17,617.50x = 1,482,144,126.89
5. Step 5: Solve for x
   x = 1,482,144,126.89/17,617.50
6. Step 6: Final answer
   x = 84,129.08