Finding the Third Proportional to 22,532 and 32,942

Step by Step Solution

1. Step 1: Write the proportion equation
   22,532 : 32,942 = 32,942 : x
2. Step 2: Convert to fraction form
   22,532/32,942 = 32,942/x
3. Step 3: Cross multiply
   22,532x = 32,942 × 32,942
4. Step 4: Simplify right side
   22,532x = 1,085,175,364
5. Step 5: Solve for x
   x = 1,085,175,364/22,532
6. Step 6: Final answer
   x = 48,161.52