Finding the Third Proportional to 25,301 and 37,747

Step by Step Solution

1. Step 1: Write the proportion equation
   25,301 : 37,747 = 37,747 : x
2. Step 2: Convert to fraction form
   25,301/37,747 = 37,747/x
3. Step 3: Cross multiply
   25,301x = 37,747 × 37,747
4. Step 4: Simplify right side
   25,301x = 1,424,836,009
5. Step 5: Solve for x
   x = 1,424,836,009/25,301
6. Step 6: Final answer
   x = 56,315.40