Finding the Third Proportional to 23,614 and 51,608

Step by Step Solution

1. Step 1: Write the proportion equation
   23,614 : 51,608 = 51,608 : x
2. Step 2: Convert to fraction form
   23,614/51,608 = 51,608/x
3. Step 3: Cross multiply
   23,614x = 51,608 × 51,608
4. Step 4: Simplify right side
   23,614x = 2,663,385,664
5. Step 5: Solve for x
   x = 2,663,385,664/23,614
6. Step 6: Final answer
   x = 112,788.42