Finding the Third Proportional to 32,040 and 69,896

Step by Step Solution

1. Step 1: Write the proportion equation
   32,040 : 69,896 = 69,896 : x
2. Step 2: Convert to fraction form
   32,040/69,896 = 69,896/x
3. Step 3: Cross multiply
   32,040x = 69,896 × 69,896
4. Step 4: Simplify right side
   32,040x = 4,885,450,816
5. Step 5: Solve for x
   x = 4,885,450,816/32,040
6. Step 6: Final answer
   x = 152,479.74