Finding the Third Proportional to 25,659 and 37,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,659 : 37,600.50 = 37,600.50 : x
2. Step 2: Convert to fraction form
   25,659/37,600.50 = 37,600.50/x
3. Step 3: Cross multiply
   25,659x = 37,600.50 × 37,600.50
4. Step 4: Simplify right side
   25,659x = 1,413,797,600.25
5. Step 5: Solve for x
   x = 1,413,797,600.25/25,659
6. Step 6: Final answer
   x = 55,099.48