Finding the Third Proportional to 32,412 and 69,882

Step by Step Solution

1. Step 1: Write the proportion equation
   32,412 : 69,882 = 69,882 : x
2. Step 2: Convert to fraction form
   32,412/69,882 = 69,882/x
3. Step 3: Cross multiply
   32,412x = 69,882 × 69,882
4. Step 4: Simplify right side
   32,412x = 4,883,493,924
5. Step 5: Solve for x
   x = 4,883,493,924/32,412
6. Step 6: Final answer
   x = 150,669.32