Finding the Third Proportional to 17,681.63 and 38,162.81

Step by Step Solution

1. Step 1: Write the proportion equation
   17,681.63 : 38,162.81 = 38,162.81 : x
2. Step 2: Convert to fraction form
   17,681.63/38,162.81 = 38,162.81/x
3. Step 3: Cross multiply
   17,681.63x = 38,162.81 × 38,162.81
4. Step 4: Simplify right side
   17,681.63x = 1,456,400,257.91
5. Step 5: Solve for x
   x = 1,456,400,257.91/17,681.63
6. Step 6: Final answer
   x = 82,368.01