Finding the Third Proportional to 27,665 and 39,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,665 : 39,769.50 = 39,769.50 : x
2. Step 2: Convert to fraction form
   27,665/39,769.50 = 39,769.50/x
3. Step 3: Cross multiply
   27,665x = 39,769.50 × 39,769.50
4. Step 4: Simplify right side
   27,665x = 1,581,613,130.25
5. Step 5: Solve for x
   x = 1,581,613,130.25/27,665
6. Step 6: Final answer
   x = 57,170.18