Finding the Third Proportional to 30,700 and 67,254

Step by Step Solution

1. Step 1: Write the proportion equation
   30,700 : 67,254 = 67,254 : x
2. Step 2: Convert to fraction form
   30,700/67,254 = 67,254/x
3. Step 3: Cross multiply
   30,700x = 67,254 × 67,254
4. Step 4: Simplify right side
   30,700x = 4,523,100,516
5. Step 5: Solve for x
   x = 4,523,100,516/30,700
6. Step 6: Final answer
   x = 147,332.26