Finding the Third Proportional to 7,982.50 and 17,363.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,982.50 : 17,363.75 = 17,363.75 : x
2. Step 2: Convert to fraction form
   7,982.50/17,363.75 = 17,363.75/x
3. Step 3: Cross multiply
   7,982.50x = 17,363.75 × 17,363.75
4. Step 4: Simplify right side
   7,982.50x = 301,499,814.06
5. Step 5: Solve for x
   x = 301,499,814.06/7,982.50
6. Step 6: Final answer
   x = 37,770.10