Finding the Third Proportional to 38,182 and 58,082

Step by Step Solution

1. Step 1: Write the proportion equation
   38,182 : 58,082 = 58,082 : x
2. Step 2: Convert to fraction form
   38,182/58,082 = 58,082/x
3. Step 3: Cross multiply
   38,182x = 58,082 × 58,082
4. Step 4: Simplify right side
   38,182x = 3,373,518,724
5. Step 5: Solve for x
   x = 3,373,518,724/38,182
6. Step 6: Final answer
   x = 88,353.64