Finding the Third Proportional to 37,597 and 58,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,597 : 58,123.50 = 58,123.50 : x
2. Step 2: Convert to fraction form
   37,597/58,123.50 = 58,123.50/x
3. Step 3: Cross multiply
   37,597x = 58,123.50 × 58,123.50
4. Step 4: Simplify right side
   37,597x = 3,378,341,252.25
5. Step 5: Solve for x
   x = 3,378,341,252.25/37,597
6. Step 6: Final answer
   x = 89,856.67