Finding the Third Proportional to 21,898 and 48,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,898 : 48,169.50 = 48,169.50 : x
2. Step 2: Convert to fraction form
   21,898/48,169.50 = 48,169.50/x
3. Step 3: Cross multiply
   21,898x = 48,169.50 × 48,169.50
4. Step 4: Simplify right side
   21,898x = 2,320,300,730.25
5. Step 5: Solve for x
   x = 2,320,300,730.25/21,898
6. Step 6: Final answer
   x = 105,959.48