Finding the Third Proportional to 10,284 and 22,532.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,284 : 22,532.25 = 22,532.25 : x
2. Step 2: Convert to fraction form
   10,284/22,532.25 = 22,532.25/x
3. Step 3: Cross multiply
   10,284x = 22,532.25 × 22,532.25
4. Step 4: Simplify right side
   10,284x = 507,702,290.06
5. Step 5: Solve for x
   x = 507,702,290.06/10,284
6. Step 6: Final answer
   x = 49,368.17