Finding the Third Proportional to 37,156 and 57,597

Step by Step Solution

1. Step 1: Write the proportion equation
   37,156 : 57,597 = 57,597 : x
2. Step 2: Convert to fraction form
   37,156/57,597 = 57,597/x
3. Step 3: Cross multiply
   37,156x = 57,597 × 57,597
4. Step 4: Simplify right side
   37,156x = 3,317,414,409
5. Step 5: Solve for x
   x = 3,317,414,409/37,156
6. Step 6: Final answer
   x = 89,283.41