Finding the Third Proportional to 17,784 and 24,113.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 24,113.25 = 24,113.25 : x
2. Step 2: Convert to fraction form
   17,784/24,113.25 = 24,113.25/x
3. Step 3: Cross multiply
   17,784x = 24,113.25 × 24,113.25
4. Step 4: Simplify right side
   17,784x = 581,448,825.56
5. Step 5: Solve for x
   x = 581,448,825.56/17,784
6. Step 6: Final answer
   x = 32,695.05