Finding the Third Proportional to 32,441 and 69,066

Step by Step Solution

1. Step 1: Write the proportion equation
   32,441 : 69,066 = 69,066 : x
2. Step 2: Convert to fraction form
   32,441/69,066 = 69,066/x
3. Step 3: Cross multiply
   32,441x = 69,066 × 69,066
4. Step 4: Simplify right side
   32,441x = 4,770,112,356
5. Step 5: Solve for x
   x = 4,770,112,356/32,441
6. Step 6: Final answer
   x = 147,039.62