Finding the Third Proportional to 10,294.50 and 15,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.50 : 15,586.50 = 15,586.50 : x
2. Step 2: Convert to fraction form
   10,294.50/15,586.50 = 15,586.50/x
3. Step 3: Cross multiply
   10,294.50x = 15,586.50 × 15,586.50
4. Step 4: Simplify right side
   10,294.50x = 242,938,982.25
5. Step 5: Solve for x
   x = 242,938,982.25/10,294.50
6. Step 6: Final answer
   x = 23,598.91