Finding the Third Proportional to 10,111.50 and 22,167

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.50 : 22,167 = 22,167 : x
2. Step 2: Convert to fraction form
   10,111.50/22,167 = 22,167/x
3. Step 3: Cross multiply
   10,111.50x = 22,167 × 22,167
4. Step 4: Simplify right side
   10,111.50x = 491,375,889
5. Step 5: Solve for x
   x = 491,375,889/10,111.50
6. Step 6: Final answer
   x = 48,595.75