Finding the Third Proportional to 22,456 and 32,695

Step by Step Solution

1. Step 1: Write the proportion equation
   22,456 : 32,695 = 32,695 : x
2. Step 2: Convert to fraction form
   22,456/32,695 = 32,695/x
3. Step 3: Cross multiply
   22,456x = 32,695 × 32,695
4. Step 4: Simplify right side
   22,456x = 1,068,963,025
5. Step 5: Solve for x
   x = 1,068,963,025/22,456
6. Step 6: Final answer
   x = 47,602.56