Finding the Third Proportional to 32,448 and 69,752

Step by Step Solution

1. Step 1: Write the proportion equation
   32,448 : 69,752 = 69,752 : x
2. Step 2: Convert to fraction form
   32,448/69,752 = 69,752/x
3. Step 3: Cross multiply
   32,448x = 69,752 × 69,752
4. Step 4: Simplify right side
   32,448x = 4,865,341,504
5. Step 5: Solve for x
   x = 4,865,341,504/32,448
6. Step 6: Final answer
   x = 149,942.72