Finding the Third Proportional to 24,675 and 32,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,675 : 32,396.50 = 32,396.50 : x
2. Step 2: Convert to fraction form
   24,675/32,396.50 = 32,396.50/x
3. Step 3: Cross multiply
   24,675x = 32,396.50 × 32,396.50
4. Step 4: Simplify right side
   24,675x = 1,049,533,212.25
5. Step 5: Solve for x
   x = 1,049,533,212.25/24,675
6. Step 6: Final answer
   x = 42,534.27