Finding the Third Proportional to 37,156 and 81,082

Step by Step Solution

1. Step 1: Write the proportion equation
   37,156 : 81,082 = 81,082 : x
2. Step 2: Convert to fraction form
   37,156/81,082 = 81,082/x
3. Step 3: Cross multiply
   37,156x = 81,082 × 81,082
4. Step 4: Simplify right side
   37,156x = 6,574,290,724
5. Step 5: Solve for x
   x = 6,574,290,724/37,156
6. Step 6: Final answer
   x = 176,937.53