Finding the Third Proportional to 23,657 and 51,508

Step by Step Solution

1. Step 1: Write the proportion equation
   23,657 : 51,508 = 51,508 : x
2. Step 2: Convert to fraction form
   23,657/51,508 = 51,508/x
3. Step 3: Cross multiply
   23,657x = 51,508 × 51,508
4. Step 4: Simplify right side
   23,657x = 2,653,074,064
5. Step 5: Solve for x
   x = 2,653,074,064/23,657
6. Step 6: Final answer
   x = 112,147.53