Finding the Third Proportional to 22,635 and 32,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,635 : 32,872.50 = 32,872.50 : x
2. Step 2: Convert to fraction form
   22,635/32,872.50 = 32,872.50/x
3. Step 3: Cross multiply
   22,635x = 32,872.50 × 32,872.50
4. Step 4: Simplify right side
   22,635x = 1,080,601,256.25
5. Step 5: Solve for x
   x = 1,080,601,256.25/22,635
6. Step 6: Final answer
   x = 47,740.28