Finding the Third Proportional to 1,302.19 and 2,188.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.19 : 2,188.69 = 2,188.69 : x
2. Step 2: Convert to fraction form
   1,302.19/2,188.69 = 2,188.69/x
3. Step 3: Cross multiply
   1,302.19x = 2,188.69 × 2,188.69
4. Step 4: Simplify right side
   1,302.19x = 4,790,352.97
5. Step 5: Solve for x
   x = 4,790,352.97/1,302.19
6. Step 6: Final answer
   x = 3,678.70