Finding the Third Proportional to 37,972 and 57,876

Step by Step Solution

1. Step 1: Write the proportion equation
   37,972 : 57,876 = 57,876 : x
2. Step 2: Convert to fraction form
   37,972/57,876 = 57,876/x
3. Step 3: Cross multiply
   37,972x = 57,876 × 57,876
4. Step 4: Simplify right side
   37,972x = 3,349,631,376
5. Step 5: Solve for x
   x = 3,349,631,376/37,972
6. Step 6: Final answer
   x = 88,213.19