Finding the Third Proportional to 10,184 and 22,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 22,282.50 = 22,282.50 : x
2. Step 2: Convert to fraction form
   10,184/22,282.50 = 22,282.50/x
3. Step 3: Cross multiply
   10,184x = 22,282.50 × 22,282.50
4. Step 4: Simplify right side
   10,184x = 496,509,806.25
5. Step 5: Solve for x
   x = 496,509,806.25/10,184
6. Step 6: Final answer
   x = 48,753.91