Finding the Third Proportional to 10,257.50 and 22,084.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.50 : 22,084.25 = 22,084.25 : x
2. Step 2: Convert to fraction form
   10,257.50/22,084.25 = 22,084.25/x
3. Step 3: Cross multiply
   10,257.50x = 22,084.25 × 22,084.25
4. Step 4: Simplify right side
   10,257.50x = 487,714,098.06
5. Step 5: Solve for x
   x = 487,714,098.06/10,257.50
6. Step 6: Final answer
   x = 47,547.07