Finding the Third Proportional to 29,410 and 64,004

Step by Step Solution

1. Step 1: Write the proportion equation
   29,410 : 64,004 = 64,004 : x
2. Step 2: Convert to fraction form
   29,410/64,004 = 64,004/x
3. Step 3: Cross multiply
   29,410x = 64,004 × 64,004
4. Step 4: Simplify right side
   29,410x = 4,096,512,016
5. Step 5: Solve for x
   x = 4,096,512,016/29,410
6. Step 6: Final answer
   x = 139,289.77