Finding the Third Proportional to 27,857.25 and 65,697.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,857.25 : 65,697.75 = 65,697.75 : x
2. Step 2: Convert to fraction form
   27,857.25/65,697.75 = 65,697.75/x
3. Step 3: Cross multiply
   27,857.25x = 65,697.75 × 65,697.75
4. Step 4: Simplify right side
   27,857.25x = 4,316,194,355.06
5. Step 5: Solve for x
   x = 4,316,194,355.06/27,857.25
6. Step 6: Final answer
   x = 154,939.71