Finding the Third Proportional to 29,404 and 64,640

Step by Step Solution

1. Step 1: Write the proportion equation
   29,404 : 64,640 = 64,640 : x
2. Step 2: Convert to fraction form
   29,404/64,640 = 64,640/x
3. Step 3: Cross multiply
   29,404x = 64,640 × 64,640
4. Step 4: Simplify right side
   29,404x = 4,178,329,600
5. Step 5: Solve for x
   x = 4,178,329,600/29,404
6. Step 6: Final answer
   x = 142,100.72