Finding the Third Proportional to 30,735 and 67,134

Step by Step Solution

1. Step 1: Write the proportion equation
   30,735 : 67,134 = 67,134 : x
2. Step 2: Convert to fraction form
   30,735/67,134 = 67,134/x
3. Step 3: Cross multiply
   30,735x = 67,134 × 67,134
4. Step 4: Simplify right side
   30,735x = 4,506,973,956
5. Step 5: Solve for x
   x = 4,506,973,956/30,735
6. Step 6: Final answer
   x = 146,639.79