Finding the Third Proportional to 6,140 and 14,834

Step by Step Solution

1. Step 1: Write the proportion equation
   6,140 : 14,834 = 14,834 : x
2. Step 2: Convert to fraction form
   6,140/14,834 = 14,834/x
3. Step 3: Cross multiply
   6,140x = 14,834 × 14,834
4. Step 4: Simplify right side
   6,140x = 220,047,556
5. Step 5: Solve for x
   x = 220,047,556/6,140
6. Step 6: Final answer
   x = 35,838.36