Finding the Third Proportional to 17,584 and 37,006

Step by Step Solution

1. Step 1: Write the proportion equation
   17,584 : 37,006 = 37,006 : x
2. Step 2: Convert to fraction form
   17,584/37,006 = 37,006/x
3. Step 3: Cross multiply
   17,584x = 37,006 × 37,006
4. Step 4: Simplify right side
   17,584x = 1,369,444,036
5. Step 5: Solve for x
   x = 1,369,444,036/17,584
6. Step 6: Final answer
   x = 77,880.12