Finding the Third Proportional to 10,212 and 22,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,212 : 22,429.50 = 22,429.50 : x
2. Step 2: Convert to fraction form
   10,212/22,429.50 = 22,429.50/x
3. Step 3: Cross multiply
   10,212x = 22,429.50 × 22,429.50
4. Step 4: Simplify right side
   10,212x = 503,082,470.25
5. Step 5: Solve for x
   x = 503,082,470.25/10,212
6. Step 6: Final answer
   x = 49,263.85