Finding the Third Proportional to 22,524 and 32,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,524 : 32,623.50 = 32,623.50 : x
2. Step 2: Convert to fraction form
   22,524/32,623.50 = 32,623.50/x
3. Step 3: Cross multiply
   22,524x = 32,623.50 × 32,623.50
4. Step 4: Simplify right side
   22,524x = 1,064,292,752.25
5. Step 5: Solve for x
   x = 1,064,292,752.25/22,524
6. Step 6: Final answer
   x = 47,251.50