Finding the Third Proportional to 32,108 and 69,778

Step by Step Solution

1. Step 1: Write the proportion equation
   32,108 : 69,778 = 69,778 : x
2. Step 2: Convert to fraction form
   32,108/69,778 = 69,778/x
3. Step 3: Cross multiply
   32,108x = 69,778 × 69,778
4. Step 4: Simplify right side
   32,108x = 4,868,969,284
5. Step 5: Solve for x
   x = 4,868,969,284/32,108
6. Step 6: Final answer
   x = 151,643.49