Finding the Third Proportional to 17,419.50 and 37,971

Step by Step Solution

1. Step 1: Write the proportion equation
   17,419.50 : 37,971 = 37,971 : x
2. Step 2: Convert to fraction form
   17,419.50/37,971 = 37,971/x
3. Step 3: Cross multiply
   17,419.50x = 37,971 × 37,971
4. Step 4: Simplify right side
   17,419.50x = 1,441,796,841
5. Step 5: Solve for x
   x = 1,441,796,841/17,419.50
6. Step 6: Final answer
   x = 82,769.13