Finding the Third Proportional to 37,082.38 and 76,793.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082.38 : 76,793.13 = 76,793.13 : x
2. Step 2: Convert to fraction form
   37,082.38/76,793.13 = 76,793.13/x
3. Step 3: Cross multiply
   37,082.38x = 76,793.13 × 76,793.13
4. Step 4: Simplify right side
   37,082.38x = 5,897,184,047.27
5. Step 5: Solve for x
   x = 5,897,184,047.27/37,082.38
6. Step 6: Final answer
   x = 159,029.30