Finding the Third Proportional to 9,684 and 22,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 22,417.50 = 22,417.50 : x
2. Step 2: Convert to fraction form
   9,684/22,417.50 = 22,417.50/x
3. Step 3: Cross multiply
   9,684x = 22,417.50 × 22,417.50
4. Step 4: Simplify right side
   9,684x = 502,544,306.25
5. Step 5: Solve for x
   x = 502,544,306.25/9,684
6. Step 6: Final answer
   x = 51,894.29