Finding the Third Proportional to 22,822.50 and 49,158

Step by Step Solution

1. Step 1: Write the proportion equation
   22,822.50 : 49,158 = 49,158 : x
2. Step 2: Convert to fraction form
   22,822.50/49,158 = 49,158/x
3. Step 3: Cross multiply
   22,822.50x = 49,158 × 49,158
4. Step 4: Simplify right side
   22,822.50x = 2,416,508,964
5. Step 5: Solve for x
   x = 2,416,508,964/22,822.50
6. Step 6: Final answer
   x = 105,882.75