Finding the Third Proportional to 5,739.75 and 10,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,739.75 : 10,066.50 = 10,066.50 : x
2. Step 2: Convert to fraction form
   5,739.75/10,066.50 = 10,066.50/x
3. Step 3: Cross multiply
   5,739.75x = 10,066.50 × 10,066.50
4. Step 4: Simplify right side
   5,739.75x = 101,334,422.25
5. Step 5: Solve for x
   x = 101,334,422.25/5,739.75
6. Step 6: Final answer
   x = 17,654.85