Finding the Third Proportional to 5,116 and 5,602

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116 : 5,602 = 5,602 : x
2. Step 2: Convert to fraction form
   5,116/5,602 = 5,602/x
3. Step 3: Cross multiply
   5,116x = 5,602 × 5,602
4. Step 4: Simplify right side
   5,116x = 31,382,404
5. Step 5: Solve for x
   x = 31,382,404/5,116
6. Step 6: Final answer
   x = 6,134.17