Finding the Third Proportional to 11,768 and 25,114

Step by Step Solution

1. Step 1: Write the proportion equation
   11,768 : 25,114 = 25,114 : x
2. Step 2: Convert to fraction form
   11,768/25,114 = 25,114/x
3. Step 3: Cross multiply
   11,768x = 25,114 × 25,114
4. Step 4: Simplify right side
   11,768x = 630,712,996
5. Step 5: Solve for x
   x = 630,712,996/11,768
6. Step 6: Final answer
   x = 53,595.60