Finding the Third Proportional to 37,876 and 56,082

Step by Step Solution

1. Step 1: Write the proportion equation
   37,876 : 56,082 = 56,082 : x
2. Step 2: Convert to fraction form
   37,876/56,082 = 56,082/x
3. Step 3: Cross multiply
   37,876x = 56,082 × 56,082
4. Step 4: Simplify right side
   37,876x = 3,145,190,724
5. Step 5: Solve for x
   x = 3,145,190,724/37,876
6. Step 6: Final answer
   x = 83,039.15