Finding the Third Proportional to 37,313 and 59,082

Step by Step Solution

1. Step 1: Write the proportion equation
   37,313 : 59,082 = 59,082 : x
2. Step 2: Convert to fraction form
   37,313/59,082 = 59,082/x
3. Step 3: Cross multiply
   37,313x = 59,082 × 59,082
4. Step 4: Simplify right side
   37,313x = 3,490,682,724
5. Step 5: Solve for x
   x = 3,490,682,724/37,313
6. Step 6: Final answer
   x = 93,551.38