Finding the Third Proportional to 17,584 and 37,942

Step by Step Solution

1. Step 1: Write the proportion equation
   17,584 : 37,942 = 37,942 : x
2. Step 2: Convert to fraction form
   17,584/37,942 = 37,942/x
3. Step 3: Cross multiply
   17,584x = 37,942 × 37,942
4. Step 4: Simplify right side
   17,584x = 1,439,595,364
5. Step 5: Solve for x
   x = 1,439,595,364/17,584
6. Step 6: Final answer
   x = 81,869.62