Finding the Third Proportional to 6,801.75 and 14,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,801.75 : 14,419.50 = 14,419.50 : x
2. Step 2: Convert to fraction form
   6,801.75/14,419.50 = 14,419.50/x
3. Step 3: Cross multiply
   6,801.75x = 14,419.50 × 14,419.50
4. Step 4: Simplify right side
   6,801.75x = 207,921,980.25
5. Step 5: Solve for x
   x = 207,921,980.25/6,801.75
6. Step 6: Final answer
   x = 30,568.89