Finding the Third Proportional to 10,217.81 and 15,827.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217.81 : 15,827.06 = 15,827.06 : x
2. Step 2: Convert to fraction form
   10,217.81/15,827.06 = 15,827.06/x
3. Step 3: Cross multiply
   10,217.81x = 15,827.06 × 15,827.06
4. Step 4: Simplify right side
   10,217.81x = 250,495,907.38
5. Step 5: Solve for x
   x = 250,495,907.38/10,217.81
6. Step 6: Final answer
   x = 24,515.61