Finding the Third Proportional to 37,082 and 76,624

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082 : 76,624 = 76,624 : x
2. Step 2: Convert to fraction form
   37,082/76,624 = 76,624/x
3. Step 3: Cross multiply
   37,082x = 76,624 × 76,624
4. Step 4: Simplify right side
   37,082x = 5,871,237,376
5. Step 5: Solve for x
   x = 5,871,237,376/37,082
6. Step 6: Final answer
   x = 158,331.20