Finding the Third Proportional to 32,278 and 71,082

Step by Step Solution

1. Step 1: Write the proportion equation
   32,278 : 71,082 = 71,082 : x
2. Step 2: Convert to fraction form
   32,278/71,082 = 71,082/x
3. Step 3: Cross multiply
   32,278x = 71,082 × 71,082
4. Step 4: Simplify right side
   32,278x = 5,052,650,724
5. Step 5: Solve for x
   x = 5,052,650,724/32,278
6. Step 6: Final answer
   x = 156,535.43