Finding the Third Proportional to 5,410.13 and 7,868.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,410.13 : 7,868.81 = 7,868.81 : x
2. Step 2: Convert to fraction form
   5,410.13/7,868.81 = 7,868.81/x
3. Step 3: Cross multiply
   5,410.13x = 7,868.81 × 7,868.81
4. Step 4: Simplify right side
   5,410.13x = 61,918,210.16
5. Step 5: Solve for x
   x = 61,918,210.16/5,410.13
6. Step 6: Final answer
   x = 11,444.88