Finding the Third Proportional to 1,278.84 and 1,897.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,278.84 : 1,897.88 = 1,897.88 : x
2. Step 2: Convert to fraction form
   1,278.84/1,897.88 = 1,897.88/x
3. Step 3: Cross multiply
   1,278.84x = 1,897.88 × 1,897.88
4. Step 4: Simplify right side
   1,278.84x = 3,601,929.52
5. Step 5: Solve for x
   x = 3,601,929.52/1,278.84
6. Step 6: Final answer
   x = 2,816.55