Finding the Third Proportional to 1,298.53 and 3,086.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 3,086.86 = 3,086.86 : x
2. Step 2: Convert to fraction form
   1,298.53/3,086.86 = 3,086.86/x
3. Step 3: Cross multiply
   1,298.53x = 3,086.86 × 3,086.86
4. Step 4: Simplify right side
   1,298.53x = 9,528,700.80
5. Step 5: Solve for x
   x = 9,528,700.80/1,298.53
6. Step 6: Final answer
   x = 7,338.06