Finding the Third Proportional to 2,698.88 and 5,897.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698.88 : 5,897.81 = 5,897.81 : x
2. Step 2: Convert to fraction form
   2,698.88/5,897.81 = 5,897.81/x
3. Step 3: Cross multiply
   2,698.88x = 5,897.81 × 5,897.81
4. Step 4: Simplify right side
   2,698.88x = 34,784,192.29
5. Step 5: Solve for x
   x = 34,784,192.29/2,698.88
6. Step 6: Final answer
   x = 12,888.40