Finding the Third Proportional to 25,151 and 37,729

Step by Step Solution

1. Step 1: Write the proportion equation
   25,151 : 37,729 = 37,729 : x
2. Step 2: Convert to fraction form
   25,151/37,729 = 37,729/x
3. Step 3: Cross multiply
   25,151x = 37,729 × 37,729
4. Step 4: Simplify right side
   25,151x = 1,423,477,441
5. Step 5: Solve for x
   x = 1,423,477,441/25,151
6. Step 6: Final answer
   x = 56,597.25