Finding the Third Proportional to 32,154 and 69,674

Step by Step Solution

1. Step 1: Write the proportion equation
   32,154 : 69,674 = 69,674 : x
2. Step 2: Convert to fraction form
   32,154/69,674 = 69,674/x
3. Step 3: Cross multiply
   32,154x = 69,674 × 69,674
4. Step 4: Simplify right side
   32,154x = 4,854,466,276
5. Step 5: Solve for x
   x = 4,854,466,276/32,154
6. Step 6: Final answer
   x = 150,975.50