Finding the Third Proportional to 37,626 and 56,255

Step by Step Solution

1. Step 1: Write the proportion equation
   37,626 : 56,255 = 56,255 : x
2. Step 2: Convert to fraction form
   37,626/56,255 = 56,255/x
3. Step 3: Cross multiply
   37,626x = 56,255 × 56,255
4. Step 4: Simplify right side
   37,626x = 3,164,625,025
5. Step 5: Solve for x
   x = 3,164,625,025/37,626
6. Step 6: Final answer
   x = 84,107.40