Finding the Third Proportional to 25,746 and 37,446

Step by Step Solution

1. Step 1: Write the proportion equation
   25,746 : 37,446 = 37,446 : x
2. Step 2: Convert to fraction form
   25,746/37,446 = 37,446/x
3. Step 3: Cross multiply
   25,746x = 37,446 × 37,446
4. Step 4: Simplify right side
   25,746x = 1,402,202,916
5. Step 5: Solve for x
   x = 1,402,202,916/25,746
6. Step 6: Final answer
   x = 54,462.94