Finding the Third Proportional to 17,382 and 37,716

Step by Step Solution

1. Step 1: Write the proportion equation
   17,382 : 37,716 = 37,716 : x
2. Step 2: Convert to fraction form
   17,382/37,716 = 37,716/x
3. Step 3: Cross multiply
   17,382x = 37,716 × 37,716
4. Step 4: Simplify right side
   17,382x = 1,422,496,656
5. Step 5: Solve for x
   x = 1,422,496,656/17,382
6. Step 6: Final answer
   x = 81,837.34