Finding the Third Proportional to 27,024 and 43,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,024 : 43,171.50 = 43,171.50 : x
2. Step 2: Convert to fraction form
   27,024/43,171.50 = 43,171.50/x
3. Step 3: Cross multiply
   27,024x = 43,171.50 × 43,171.50
4. Step 4: Simplify right side
   27,024x = 1,863,778,412.25
5. Step 5: Solve for x
   x = 1,863,778,412.25/27,024
6. Step 6: Final answer
   x = 68,967.53