Finding the Third Proportional to 22,536 and 32,948

Step by Step Solution

1. Step 1: Write the proportion equation
   22,536 : 32,948 = 32,948 : x
2. Step 2: Convert to fraction form
   22,536/32,948 = 32,948/x
3. Step 3: Cross multiply
   22,536x = 32,948 × 32,948
4. Step 4: Simplify right side
   22,536x = 1,085,570,704
5. Step 5: Solve for x
   x = 1,085,570,704/22,536
6. Step 6: Final answer
   x = 48,170.51