Finding the Third Proportional to 15,614 and 34,410

Step by Step Solution

1. Step 1: Write the proportion equation
   15,614 : 34,410 = 34,410 : x
2. Step 2: Convert to fraction form
   15,614/34,410 = 34,410/x
3. Step 3: Cross multiply
   15,614x = 34,410 × 34,410
4. Step 4: Simplify right side
   15,614x = 1,184,048,100
5. Step 5: Solve for x
   x = 1,184,048,100/15,614
6. Step 6: Final answer
   x = 75,832.46