Finding the Third Proportional to 17,749.50 and 24,032.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,749.50 : 24,032.25 = 24,032.25 : x
2. Step 2: Convert to fraction form
   17,749.50/24,032.25 = 24,032.25/x
3. Step 3: Cross multiply
   17,749.50x = 24,032.25 × 24,032.25
4. Step 4: Simplify right side
   17,749.50x = 577,549,040.06
5. Step 5: Solve for x
   x = 577,549,040.06/17,749.50
6. Step 6: Final answer
   x = 32,538.89