Finding the Third Proportional to 12,585.50 and 17,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,585.50 : 17,638.50 = 17,638.50 : x
2. Step 2: Convert to fraction form
   12,585.50/17,638.50 = 17,638.50/x
3. Step 3: Cross multiply
   12,585.50x = 17,638.50 × 17,638.50
4. Step 4: Simplify right side
   12,585.50x = 311,116,682.25
5. Step 5: Solve for x
   x = 311,116,682.25/12,585.50
6. Step 6: Final answer
   x = 24,720.25