Finding the Third Proportional to 32,150 and 69,646

Step by Step Solution

1. Step 1: Write the proportion equation
   32,150 : 69,646 = 69,646 : x
2. Step 2: Convert to fraction form
   32,150/69,646 = 69,646/x
3. Step 3: Cross multiply
   32,150x = 69,646 × 69,646
4. Step 4: Simplify right side
   32,150x = 4,850,565,316
5. Step 5: Solve for x
   x = 4,850,565,316/32,150
6. Step 6: Final answer
   x = 150,872.95