Finding the Third Proportional to 22,878 and 49,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,878 : 49,630.50 = 49,630.50 : x
2. Step 2: Convert to fraction form
   22,878/49,630.50 = 49,630.50/x
3. Step 3: Cross multiply
   22,878x = 49,630.50 × 49,630.50
4. Step 4: Simplify right side
   22,878x = 2,463,186,530.25
5. Step 5: Solve for x
   x = 2,463,186,530.25/22,878
6. Step 6: Final answer
   x = 107,666.17