Finding the Third Proportional to 16,870.50 and 25,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,870.50 : 25,638.75 = 25,638.75 : x
2. Step 2: Convert to fraction form
   16,870.50/25,638.75 = 25,638.75/x
3. Step 3: Cross multiply
   16,870.50x = 25,638.75 × 25,638.75
4. Step 4: Simplify right side
   16,870.50x = 657,345,501.56
5. Step 5: Solve for x
   x = 657,345,501.56/16,870.50
6. Step 6: Final answer
   x = 38,964.20