Finding the Third Proportional to 5,853.50 and 12,801.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853.50 : 12,801.75 = 12,801.75 : x
2. Step 2: Convert to fraction form
   5,853.50/12,801.75 = 12,801.75/x
3. Step 3: Cross multiply
   5,853.50x = 12,801.75 × 12,801.75
4. Step 4: Simplify right side
   5,853.50x = 163,884,803.06
5. Step 5: Solve for x
   x = 163,884,803.06/5,853.50
6. Step 6: Final answer
   x = 27,997.75