Finding the Third Proportional to 17,634.25 and 23,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,634.25 : 23,922.50 = 23,922.50 : x
2. Step 2: Convert to fraction form
   17,634.25/23,922.50 = 23,922.50/x
3. Step 3: Cross multiply
   17,634.25x = 23,922.50 × 23,922.50
4. Step 4: Simplify right side
   17,634.25x = 572,286,006.25
5. Step 5: Solve for x
   x = 572,286,006.25/17,634.25
6. Step 6: Final answer
   x = 32,453.10