Finding the Third Proportional to 6,900.75 and 16,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,900.75 : 16,402.50 = 16,402.50 : x
2. Step 2: Convert to fraction form
   6,900.75/16,402.50 = 16,402.50/x
3. Step 3: Cross multiply
   6,900.75x = 16,402.50 × 16,402.50
4. Step 4: Simplify right side
   6,900.75x = 269,042,006.25
5. Step 5: Solve for x
   x = 269,042,006.25/6,900.75
6. Step 6: Final answer
   x = 38,987.36