Finding the Third Proportional to 5,102 and 5,522

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102 : 5,522 = 5,522 : x
2. Step 2: Convert to fraction form
   5,102/5,522 = 5,522/x
3. Step 3: Cross multiply
   5,102x = 5,522 × 5,522
4. Step 4: Simplify right side
   5,102x = 30,492,484
5. Step 5: Solve for x
   x = 30,492,484/5,102
6. Step 6: Final answer
   x = 5,976.57