Finding the Third Proportional to 30,662 and 65,700

Step by Step Solution

1. Step 1: Write the proportion equation
   30,662 : 65,700 = 65,700 : x
2. Step 2: Convert to fraction form
   30,662/65,700 = 65,700/x
3. Step 3: Cross multiply
   30,662x = 65,700 × 65,700
4. Step 4: Simplify right side
   30,662x = 4,316,490,000
5. Step 5: Solve for x
   x = 4,316,490,000/30,662
6. Step 6: Final answer
   x = 140,776.53