Finding the Third Proportional to 17,523 and 24,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,523 : 24,097.50 = 24,097.50 : x
2. Step 2: Convert to fraction form
   17,523/24,097.50 = 24,097.50/x
3. Step 3: Cross multiply
   17,523x = 24,097.50 × 24,097.50
4. Step 4: Simplify right side
   17,523x = 580,689,506.25
5. Step 5: Solve for x
   x = 580,689,506.25/17,523
6. Step 6: Final answer
   x = 33,138.70