Finding the Third Proportional to 17,623.50 and 25,731.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623.50 : 25,731.75 = 25,731.75 : x
2. Step 2: Convert to fraction form
   17,623.50/25,731.75 = 25,731.75/x
3. Step 3: Cross multiply
   17,623.50x = 25,731.75 × 25,731.75
4. Step 4: Simplify right side
   17,623.50x = 662,122,958.06
5. Step 5: Solve for x
   x = 662,122,958.06/17,623.50
6. Step 6: Final answer
   x = 37,570.46