Finding the Third Proportional to 11,775.38 and 27,801.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,775.38 : 27,801.56 = 27,801.56 : x
2. Step 2: Convert to fraction form
   11,775.38/27,801.56 = 27,801.56/x
3. Step 3: Cross multiply
   11,775.38x = 27,801.56 × 27,801.56
4. Step 4: Simplify right side
   11,775.38x = 772,926,877.44
5. Step 5: Solve for x
   x = 772,926,877.44/11,775.38
6. Step 6: Final answer
   x = 65,639.26