Finding the Third Proportional to 32,524 and 69,984

Step by Step Solution

1. Step 1: Write the proportion equation
   32,524 : 69,984 = 69,984 : x
2. Step 2: Convert to fraction form
   32,524/69,984 = 69,984/x
3. Step 3: Cross multiply
   32,524x = 69,984 × 69,984
4. Step 4: Simplify right side
   32,524x = 4,897,760,256
5. Step 5: Solve for x
   x = 4,897,760,256/32,524
6. Step 6: Final answer
   x = 150,589.11