Finding the Third Proportional to 7,941 and 17,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,941 : 17,962.50 = 17,962.50 : x
2. Step 2: Convert to fraction form
   7,941/17,962.50 = 17,962.50/x
3. Step 3: Cross multiply
   7,941x = 17,962.50 × 17,962.50
4. Step 4: Simplify right side
   7,941x = 322,651,406.25
5. Step 5: Solve for x
   x = 322,651,406.25/7,941
6. Step 6: Final answer
   x = 40,631.08