Finding the Third Proportional to 17,442 and 37,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,442 : 37,684.50 = 37,684.50 : x
2. Step 2: Convert to fraction form
   17,442/37,684.50 = 37,684.50/x
3. Step 3: Cross multiply
   17,442x = 37,684.50 × 37,684.50
4. Step 4: Simplify right side
   17,442x = 1,420,121,540.25
5. Step 5: Solve for x
   x = 1,420,121,540.25/17,442
6. Step 6: Final answer
   x = 81,419.65