Finding the Third Proportional to 37,376 and 54,626

Step by Step Solution

1. Step 1: Write the proportion equation
   37,376 : 54,626 = 54,626 : x
2. Step 2: Convert to fraction form
   37,376/54,626 = 54,626/x
3. Step 3: Cross multiply
   37,376x = 54,626 × 54,626
4. Step 4: Simplify right side
   37,376x = 2,983,999,876
5. Step 5: Solve for x
   x = 2,983,999,876/37,376
6. Step 6: Final answer
   x = 79,837.33