Finding the Third Proportional to 25,255 and 37,726

Step by Step Solution

1. Step 1: Write the proportion equation
   25,255 : 37,726 = 37,726 : x
2. Step 2: Convert to fraction form
   25,255/37,726 = 37,726/x
3. Step 3: Cross multiply
   25,255x = 37,726 × 37,726
4. Step 4: Simplify right side
   25,255x = 1,423,251,076
5. Step 5: Solve for x
   x = 1,423,251,076/25,255
6. Step 6: Final answer
   x = 56,355.22