Finding the Third Proportional to 7,880 and 17,140

Step by Step Solution

1. Step 1: Write the proportion equation
   7,880 : 17,140 = 17,140 : x
2. Step 2: Convert to fraction form
   7,880/17,140 = 17,140/x
3. Step 3: Cross multiply
   7,880x = 17,140 × 17,140
4. Step 4: Simplify right side
   7,880x = 293,779,600
5. Step 5: Solve for x
   x = 293,779,600/7,880
6. Step 6: Final answer
   x = 37,281.68