Finding the Third Proportional to 1,978.13 and 3,086.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.13 : 3,086.81 = 3,086.81 : x
2. Step 2: Convert to fraction form
   1,978.13/3,086.81 = 3,086.81/x
3. Step 3: Cross multiply
   1,978.13x = 3,086.81 × 3,086.81
4. Step 4: Simplify right side
   1,978.13x = 9,528,411.41
5. Step 5: Solve for x
   x = 9,528,411.41/1,978.13
6. Step 6: Final answer
   x = 4,816.89