Finding the Third Proportional to 27,744 and 42,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,744 : 42,547.50 = 42,547.50 : x
2. Step 2: Convert to fraction form
   27,744/42,547.50 = 42,547.50/x
3. Step 3: Cross multiply
   27,744x = 42,547.50 × 42,547.50
4. Step 4: Simplify right side
   27,744x = 1,810,289,756.25
5. Step 5: Solve for x
   x = 1,810,289,756.25/27,744
6. Step 6: Final answer
   x = 65,249.77