Finding the Third Proportional to 16,080 and 24,584

Step by Step Solution

1. Step 1: Write the proportion equation
   16,080 : 24,584 = 24,584 : x
2. Step 2: Convert to fraction form
   16,080/24,584 = 24,584/x
3. Step 3: Cross multiply
   16,080x = 24,584 × 24,584
4. Step 4: Simplify right side
   16,080x = 604,373,056
5. Step 5: Solve for x
   x = 604,373,056/16,080
6. Step 6: Final answer
   x = 37,585.39