Finding the Third Proportional to 27,567.50 and 38,821.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,567.50 : 38,821.75 = 38,821.75 : x
2. Step 2: Convert to fraction form
   27,567.50/38,821.75 = 38,821.75/x
3. Step 3: Cross multiply
   27,567.50x = 38,821.75 × 38,821.75
4. Step 4: Simplify right side
   27,567.50x = 1,507,128,273.06
5. Step 5: Solve for x
   x = 1,507,128,273.06/27,567.50
6. Step 6: Final answer
   x = 54,670.47