Finding the Third Proportional to 1,374.61 and 2,680.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.61 : 2,680.45 = 2,680.45 : x
2. Step 2: Convert to fraction form
   1,374.61/2,680.45 = 2,680.45/x
3. Step 3: Cross multiply
   1,374.61x = 2,680.45 × 2,680.45
4. Step 4: Simplify right side
   1,374.61x = 7,184,828.96
5. Step 5: Solve for x
   x = 7,184,828.96/1,374.61
6. Step 6: Final answer
   x = 5,226.82