Finding the Third Proportional to 32,414 and 69,886

Step by Step Solution

1. Step 1: Write the proportion equation
   32,414 : 69,886 = 69,886 : x
2. Step 2: Convert to fraction form
   32,414/69,886 = 69,886/x
3. Step 3: Cross multiply
   32,414x = 69,886 × 69,886
4. Step 4: Simplify right side
   32,414x = 4,884,052,996
5. Step 5: Solve for x
   x = 4,884,052,996/32,414
6. Step 6: Final answer
   x = 150,677.27