Finding the Third Proportional to 10,281 and 22,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281 : 22,582.50 = 22,582.50 : x
2. Step 2: Convert to fraction form
   10,281/22,582.50 = 22,582.50/x
3. Step 3: Cross multiply
   10,281x = 22,582.50 × 22,582.50
4. Step 4: Simplify right side
   10,281x = 509,969,306.25
5. Step 5: Solve for x
   x = 509,969,306.25/10,281
6. Step 6: Final answer
   x = 49,603.08