Finding the Third Proportional to 10,056.50 and 15,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.50 : 15,627.50 = 15,627.50 : x
2. Step 2: Convert to fraction form
   10,056.50/15,627.50 = 15,627.50/x
3. Step 3: Cross multiply
   10,056.50x = 15,627.50 × 15,627.50
4. Step 4: Simplify right side
   10,056.50x = 244,218,756.25
5. Step 5: Solve for x
   x = 244,218,756.25/10,056.50
6. Step 6: Final answer
   x = 24,284.67