Finding the Third Proportional to 32,154 and 69,654

Step by Step Solution

1. Step 1: Write the proportion equation
   32,154 : 69,654 = 69,654 : x
2. Step 2: Convert to fraction form
   32,154/69,654 = 69,654/x
3. Step 3: Cross multiply
   32,154x = 69,654 × 69,654
4. Step 4: Simplify right side
   32,154x = 4,851,679,716
5. Step 5: Solve for x
   x = 4,851,679,716/32,154
6. Step 6: Final answer
   x = 150,888.84