Finding the Third Proportional to 29,706 and 65,082

Step by Step Solution

1. Step 1: Write the proportion equation
   29,706 : 65,082 = 65,082 : x
2. Step 2: Convert to fraction form
   29,706/65,082 = 65,082/x
3. Step 3: Cross multiply
   29,706x = 65,082 × 65,082
4. Step 4: Simplify right side
   29,706x = 4,235,666,724
5. Step 5: Solve for x
   x = 4,235,666,724/29,706
6. Step 6: Final answer
   x = 142,586.24