Finding the Third Proportional to 5,694.75 and 7,801.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,694.75 : 7,801.88 = 7,801.88 : x
2. Step 2: Convert to fraction form
   5,694.75/7,801.88 = 7,801.88/x
3. Step 3: Cross multiply
   5,694.75x = 7,801.88 × 7,801.88
4. Step 4: Simplify right side
   5,694.75x = 60,869,253.52
5. Step 5: Solve for x
   x = 60,869,253.52/5,694.75
6. Step 6: Final answer
   x = 10,688.66