Finding the Third Proportional to 29,700 and 65,238

Step by Step Solution

1. Step 1: Write the proportion equation
   29,700 : 65,238 = 65,238 : x
2. Step 2: Convert to fraction form
   29,700/65,238 = 65,238/x
3. Step 3: Cross multiply
   29,700x = 65,238 × 65,238
4. Step 4: Simplify right side
   29,700x = 4,255,996,644
5. Step 5: Solve for x
   x = 4,255,996,644/29,700
6. Step 6: Final answer
   x = 143,299.55