Finding the Third Proportional to 14,584 and 35,002

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 35,002 = 35,002 : x
2. Step 2: Convert to fraction form
   14,584/35,002 = 35,002/x
3. Step 3: Cross multiply
   14,584x = 35,002 × 35,002
4. Step 4: Simplify right side
   14,584x = 1,225,140,004
5. Step 5: Solve for x
   x = 1,225,140,004/14,584
6. Step 6: Final answer
   x = 84,005.76