Finding the Third Proportional to 15,678 and 34,118

Step by Step Solution

1. Step 1: Write the proportion equation
   15,678 : 34,118 = 34,118 : x
2. Step 2: Convert to fraction form
   15,678/34,118 = 34,118/x
3. Step 3: Cross multiply
   15,678x = 34,118 × 34,118
4. Step 4: Simplify right side
   15,678x = 1,164,037,924
5. Step 5: Solve for x
   x = 1,164,037,924/15,678
6. Step 6: Final answer
   x = 74,246.58