Finding the Third Proportional to 25,104 and 37,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,104 : 37,657.50 = 37,657.50 : x
2. Step 2: Convert to fraction form
   25,104/37,657.50 = 37,657.50/x
3. Step 3: Cross multiply
   25,104x = 37,657.50 × 37,657.50
4. Step 4: Simplify right side
   25,104x = 1,418,087,306.25
5. Step 5: Solve for x
   x = 1,418,087,306.25/25,104
6. Step 6: Final answer
   x = 56,488.50