Finding the Third Proportional to 6,429.75 and 14,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,429.75 : 14,092.50 = 14,092.50 : x
2. Step 2: Convert to fraction form
   6,429.75/14,092.50 = 14,092.50/x
3. Step 3: Cross multiply
   6,429.75x = 14,092.50 × 14,092.50
4. Step 4: Simplify right side
   6,429.75x = 198,598,556.25
5. Step 5: Solve for x
   x = 198,598,556.25/6,429.75
6. Step 6: Final answer
   x = 30,887.45