Finding the Third Proportional to 32,776 and 71,102

Step by Step Solution

1. Step 1: Write the proportion equation
   32,776 : 71,102 = 71,102 : x
2. Step 2: Convert to fraction form
   32,776/71,102 = 71,102/x
3. Step 3: Cross multiply
   32,776x = 71,102 × 71,102
4. Step 4: Simplify right side
   32,776x = 5,055,494,404
5. Step 5: Solve for x
   x = 5,055,494,404/32,776
6. Step 6: Final answer
   x = 154,243.79