Finding the Third Proportional to 32,277 and 69,651

Step by Step Solution

1. Step 1: Write the proportion equation
   32,277 : 69,651 = 69,651 : x
2. Step 2: Convert to fraction form
   32,277/69,651 = 69,651/x
3. Step 3: Cross multiply
   32,277x = 69,651 × 69,651
4. Step 4: Simplify right side
   32,277x = 4,851,261,801
5. Step 5: Solve for x
   x = 4,851,261,801/32,277
6. Step 6: Final answer
   x = 150,300.89