Finding the Third Proportional to 32,309 and 69,978

Step by Step Solution

1. Step 1: Write the proportion equation
   32,309 : 69,978 = 69,978 : x
2. Step 2: Convert to fraction form
   32,309/69,978 = 69,978/x
3. Step 3: Cross multiply
   32,309x = 69,978 × 69,978
4. Step 4: Simplify right side
   32,309x = 4,896,920,484
5. Step 5: Solve for x
   x = 4,896,920,484/32,309
6. Step 6: Final answer
   x = 151,565.21