Finding the Third Proportional to 22,380 and 49,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,380 : 49,417.50 = 49,417.50 : x
2. Step 2: Convert to fraction form
   22,380/49,417.50 = 49,417.50/x
3. Step 3: Cross multiply
   22,380x = 49,417.50 × 49,417.50
4. Step 4: Simplify right side
   22,380x = 2,442,089,306.25
5. Step 5: Solve for x
   x = 2,442,089,306.25/22,380
6. Step 6: Final answer
   x = 109,119.27