Finding the Third Proportional to 2,307.66 and 3,460.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307.66 : 3,460.78 = 3,460.78 : x
2. Step 2: Convert to fraction form
   2,307.66/3,460.78 = 3,460.78/x
3. Step 3: Cross multiply
   2,307.66x = 3,460.78 × 3,460.78
4. Step 4: Simplify right side
   2,307.66x = 11,977,006.86
5. Step 5: Solve for x
   x = 11,977,006.86/2,307.66
6. Step 6: Final answer
   x = 5,190.12