Finding the Third Proportional to 32,478 and 69,969

Step by Step Solution

1. Step 1: Write the proportion equation
   32,478 : 69,969 = 69,969 : x
2. Step 2: Convert to fraction form
   32,478/69,969 = 69,969/x
3. Step 3: Cross multiply
   32,478x = 69,969 × 69,969
4. Step 4: Simplify right side
   32,478x = 4,895,660,961
5. Step 5: Solve for x
   x = 4,895,660,961/32,478
6. Step 6: Final answer
   x = 150,737.76