Finding the Third Proportional to 22,758 and 49,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,758 : 49,210.50 = 49,210.50 : x
2. Step 2: Convert to fraction form
   22,758/49,210.50 = 49,210.50/x
3. Step 3: Cross multiply
   22,758x = 49,210.50 × 49,210.50
4. Step 4: Simplify right side
   22,758x = 2,421,673,310.25
5. Step 5: Solve for x
   x = 2,421,673,310.25/22,758
6. Step 6: Final answer
   x = 106,409.76