Finding the Third Proportional to 29,284 and 64,144

Step by Step Solution

1. Step 1: Write the proportion equation
   29,284 : 64,144 = 64,144 : x
2. Step 2: Convert to fraction form
   29,284/64,144 = 64,144/x
3. Step 3: Cross multiply
   29,284x = 64,144 × 64,144
4. Step 4: Simplify right side
   29,284x = 4,114,452,736
5. Step 5: Solve for x
   x = 4,114,452,736/29,284
6. Step 6: Final answer
   x = 140,501.73