Finding the Third Proportional to 15,714 and 34,194

Step by Step Solution

1. Step 1: Write the proportion equation
   15,714 : 34,194 = 34,194 : x
2. Step 2: Convert to fraction form
   15,714/34,194 = 34,194/x
3. Step 3: Cross multiply
   15,714x = 34,194 × 34,194
4. Step 4: Simplify right side
   15,714x = 1,169,229,636
5. Step 5: Solve for x
   x = 1,169,229,636/15,714
6. Step 6: Final answer
   x = 74,406.88