Finding the Third Proportional to 25,124 and 37,689

Step by Step Solution

1. Step 1: Write the proportion equation
   25,124 : 37,689 = 37,689 : x
2. Step 2: Convert to fraction form
   25,124/37,689 = 37,689/x
3. Step 3: Cross multiply
   25,124x = 37,689 × 37,689
4. Step 4: Simplify right side
   25,124x = 1,420,460,721
5. Step 5: Solve for x
   x = 1,420,460,721/25,124
6. Step 6: Final answer
   x = 56,538.00