Finding the Third Proportional to 10,114 and 22,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 22,188 = 22,188 : x
2. Step 2: Convert to fraction form
   10,114/22,188 = 22,188/x
3. Step 3: Cross multiply
   10,114x = 22,188 × 22,188
4. Step 4: Simplify right side
   10,114x = 492,307,344
5. Step 5: Solve for x
   x = 492,307,344/10,114
6. Step 6: Final answer
   x = 48,675.83