Finding the Third Proportional to 919.31 and 2,386.69

Step by Step Solution

1. Step 1: Write the proportion equation
   919.31 : 2,386.69 = 2,386.69 : x
2. Step 2: Convert to fraction form
   919.31/2,386.69 = 2,386.69/x
3. Step 3: Cross multiply
   919.31x = 2,386.69 × 2,386.69
4. Step 4: Simplify right side
   919.31x = 5,696,277.22
5. Step 5: Solve for x
   x = 5,696,277.22/919.31
6. Step 6: Final answer
   x = 6,196.24