Finding the Third Proportional to 27,768 and 39,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,768 : 39,574.50 = 39,574.50 : x
2. Step 2: Convert to fraction form
   27,768/39,574.50 = 39,574.50/x
3. Step 3: Cross multiply
   27,768x = 39,574.50 × 39,574.50
4. Step 4: Simplify right side
   27,768x = 1,566,141,050.25
5. Step 5: Solve for x
   x = 1,566,141,050.25/27,768
6. Step 6: Final answer
   x = 56,400.93