Finding the Third Proportional to 34,340 and 53,144

Step by Step Solution

1. Step 1: Write the proportion equation
   34,340 : 53,144 = 53,144 : x
2. Step 2: Convert to fraction form
   34,340/53,144 = 53,144/x
3. Step 3: Cross multiply
   34,340x = 53,144 × 53,144
4. Step 4: Simplify right side
   34,340x = 2,824,284,736
5. Step 5: Solve for x
   x = 2,824,284,736/34,340
6. Step 6: Final answer
   x = 82,244.75