Finding the Third Proportional to 32,166 and 69,678

Step by Step Solution

1. Step 1: Write the proportion equation
   32,166 : 69,678 = 69,678 : x
2. Step 2: Convert to fraction form
   32,166/69,678 = 69,678/x
3. Step 3: Cross multiply
   32,166x = 69,678 × 69,678
4. Step 4: Simplify right side
   32,166x = 4,855,023,684
5. Step 5: Solve for x
   x = 4,855,023,684/32,166
6. Step 6: Final answer
   x = 150,936.51