Finding the Third Proportional to 2,678.20 and 5,875.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.20 : 5,875.45 = 5,875.45 : x
2. Step 2: Convert to fraction form
   2,678.20/5,875.45 = 5,875.45/x
3. Step 3: Cross multiply
   2,678.20x = 5,875.45 × 5,875.45
4. Step 4: Simplify right side
   2,678.20x = 34,520,949.42
5. Step 5: Solve for x
   x = 34,520,949.42/2,678.20
6. Step 6: Final answer
   x = 12,889.59