Finding the Third Proportional to 1,897.88 and 2,781.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,897.88 : 2,781.56 = 2,781.56 : x
2. Step 2: Convert to fraction form
   1,897.88/2,781.56 = 2,781.56/x
3. Step 3: Cross multiply
   1,897.88x = 2,781.56 × 2,781.56
4. Step 4: Simplify right side
   1,897.88x = 7,737,089.94
5. Step 5: Solve for x
   x = 7,737,089.94/1,897.88
6. Step 6: Final answer
   x = 4,076.71