Finding the Third Proportional to 10,120 and 22,085

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120 : 22,085 = 22,085 : x
2. Step 2: Convert to fraction form
   10,120/22,085 = 22,085/x
3. Step 3: Cross multiply
   10,120x = 22,085 × 22,085
4. Step 4: Simplify right side
   10,120x = 487,747,225
5. Step 5: Solve for x
   x = 487,747,225/10,120
6. Step 6: Final answer
   x = 48,196.37