Finding the Third Proportional to 32,166 and 69,996

Step by Step Solution

1. Step 1: Write the proportion equation
   32,166 : 69,996 = 69,996 : x
2. Step 2: Convert to fraction form
   32,166/69,996 = 69,996/x
3. Step 3: Cross multiply
   32,166x = 69,996 × 69,996
4. Step 4: Simplify right side
   32,166x = 4,899,440,016
5. Step 5: Solve for x
   x = 4,899,440,016/32,166
6. Step 6: Final answer
   x = 152,317.35