Finding the Third Proportional to 25,038 and 38,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,038 : 38,488.50 = 38,488.50 : x
2. Step 2: Convert to fraction form
   25,038/38,488.50 = 38,488.50/x
3. Step 3: Cross multiply
   25,038x = 38,488.50 × 38,488.50
4. Step 4: Simplify right side
   25,038x = 1,481,364,632.25
5. Step 5: Solve for x
   x = 1,481,364,632.25/25,038
6. Step 6: Final answer
   x = 59,164.66