Finding the Third Proportional to 17,623.50 and 25,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623.50 : 25,948.50 = 25,948.50 : x
2. Step 2: Convert to fraction form
   17,623.50/25,948.50 = 25,948.50/x
3. Step 3: Cross multiply
   17,623.50x = 25,948.50 × 25,948.50
4. Step 4: Simplify right side
   17,623.50x = 673,324,652.25
5. Step 5: Solve for x
   x = 673,324,652.25/17,623.50
6. Step 6: Final answer
   x = 38,206.07