Finding the Third Proportional to 5,769 and 13,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769 : 13,507.50 = 13,507.50 : x
2. Step 2: Convert to fraction form
   5,769/13,507.50 = 13,507.50/x
3. Step 3: Cross multiply
   5,769x = 13,507.50 × 13,507.50
4. Step 4: Simplify right side
   5,769x = 182,452,556.25
5. Step 5: Solve for x
   x = 182,452,556.25/5,769
6. Step 6: Final answer
   x = 31,626.37