Finding the Third Proportional to 37,781 and 55,626

Step by Step Solution

1. Step 1: Write the proportion equation
   37,781 : 55,626 = 55,626 : x
2. Step 2: Convert to fraction form
   37,781/55,626 = 55,626/x
3. Step 3: Cross multiply
   37,781x = 55,626 × 55,626
4. Step 4: Simplify right side
   37,781x = 3,094,251,876
5. Step 5: Solve for x
   x = 3,094,251,876/37,781
6. Step 6: Final answer
   x = 81,899.68