Finding the Third Proportional to 30,732 and 67,128

Step by Step Solution

1. Step 1: Write the proportion equation
   30,732 : 67,128 = 67,128 : x
2. Step 2: Convert to fraction form
   30,732/67,128 = 67,128/x
3. Step 3: Cross multiply
   30,732x = 67,128 × 67,128
4. Step 4: Simplify right side
   30,732x = 4,506,168,384
5. Step 5: Solve for x
   x = 4,506,168,384/30,732
6. Step 6: Final answer
   x = 146,627.89