Finding the Third Proportional to 1,921.50 and 2,698.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,921.50 : 2,698.88 = 2,698.88 : x
2. Step 2: Convert to fraction form
   1,921.50/2,698.88 = 2,698.88/x
3. Step 3: Cross multiply
   1,921.50x = 2,698.88 × 2,698.88
4. Step 4: Simplify right side
   1,921.50x = 7,283,926.27
5. Step 5: Solve for x
   x = 7,283,926.27/1,921.50
6. Step 6: Final answer
   x = 3,790.75