Finding the Third Proportional to 2,272.50 and 2,773.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.50 : 2,773.69 = 2,773.69 : x
2. Step 2: Convert to fraction form
   2,272.50/2,773.69 = 2,773.69/x
3. Step 3: Cross multiply
   2,272.50x = 2,773.69 × 2,773.69
4. Step 4: Simplify right side
   2,272.50x = 7,693,342.35
5. Step 5: Solve for x
   x = 7,693,342.35/2,272.50
6. Step 6: Final answer
   x = 3,385.41