Finding the Third Proportional to 17,277 and 37,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,277 : 37,681.50 = 37,681.50 : x
2. Step 2: Convert to fraction form
   17,277/37,681.50 = 37,681.50/x
3. Step 3: Cross multiply
   17,277x = 37,681.50 × 37,681.50
4. Step 4: Simplify right side
   17,277x = 1,419,895,442.25
5. Step 5: Solve for x
   x = 1,419,895,442.25/17,277
6. Step 6: Final answer
   x = 82,184.14