Finding the Third Proportional to 34,734 and 71,850

Step by Step Solution

1. Step 1: Write the proportion equation
   34,734 : 71,850 = 71,850 : x
2. Step 2: Convert to fraction form
   34,734/71,850 = 71,850/x
3. Step 3: Cross multiply
   34,734x = 71,850 × 71,850
4. Step 4: Simplify right side
   34,734x = 5,162,422,500
5. Step 5: Solve for x
   x = 5,162,422,500/34,734
6. Step 6: Final answer
   x = 148,627.35