Finding the Third Proportional to 29,626 and 64,274

Step by Step Solution

1. Step 1: Write the proportion equation
   29,626 : 64,274 = 64,274 : x
2. Step 2: Convert to fraction form
   29,626/64,274 = 64,274/x
3. Step 3: Cross multiply
   29,626x = 64,274 × 64,274
4. Step 4: Simplify right side
   29,626x = 4,131,147,076
5. Step 5: Solve for x
   x = 4,131,147,076/29,626
6. Step 6: Final answer
   x = 139,443.30