Finding the Third Proportional to 22,663 and 32,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,663 : 32,641.50 = 32,641.50 : x
2. Step 2: Convert to fraction form
   22,663/32,641.50 = 32,641.50/x
3. Step 3: Cross multiply
   22,663x = 32,641.50 × 32,641.50
4. Step 4: Simplify right side
   22,663x = 1,065,467,522.25
5. Step 5: Solve for x
   x = 1,065,467,522.25/22,663
6. Step 6: Final answer
   x = 47,013.53