Finding the Third Proportional to 17,971 and 41,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,971 : 41,964.50 = 41,964.50 : x
2. Step 2: Convert to fraction form
   17,971/41,964.50 = 41,964.50/x
3. Step 3: Cross multiply
   17,971x = 41,964.50 × 41,964.50
4. Step 4: Simplify right side
   17,971x = 1,761,019,260.25
5. Step 5: Solve for x
   x = 1,761,019,260.25/17,971
6. Step 6: Final answer
   x = 97,992.28