Finding the Third Proportional to 20,574 and 27,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,574 : 27,877.50 = 27,877.50 : x
2. Step 2: Convert to fraction form
   20,574/27,877.50 = 27,877.50/x
3. Step 3: Cross multiply
   20,574x = 27,877.50 × 27,877.50
4. Step 4: Simplify right side
   20,574x = 777,155,006.25
5. Step 5: Solve for x
   x = 777,155,006.25/20,574
6. Step 6: Final answer
   x = 37,773.65