Finding the Third Proportional to 17,698.50 and 24,657.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,698.50 : 24,657.75 = 24,657.75 : x
2. Step 2: Convert to fraction form
   17,698.50/24,657.75 = 24,657.75/x
3. Step 3: Cross multiply
   17,698.50x = 24,657.75 × 24,657.75
4. Step 4: Simplify right side
   17,698.50x = 608,004,635.06
5. Step 5: Solve for x
   x = 608,004,635.06/17,698.50
6. Step 6: Final answer
   x = 34,353.46