Finding the Third Proportional to 2,507 and 5,158

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507 : 5,158 = 5,158 : x
2. Step 2: Convert to fraction form
   2,507/5,158 = 5,158/x
3. Step 3: Cross multiply
   2,507x = 5,158 × 5,158
4. Step 4: Simplify right side
   2,507x = 26,604,964
5. Step 5: Solve for x
   x = 26,604,964/2,507
6. Step 6: Final answer
   x = 10,612.27