Finding the Third Proportional to 29,178 and 64,008

Step by Step Solution

1. Step 1: Write the proportion equation
   29,178 : 64,008 = 64,008 : x
2. Step 2: Convert to fraction form
   29,178/64,008 = 64,008/x
3. Step 3: Cross multiply
   29,178x = 64,008 × 64,008
4. Step 4: Simplify right side
   29,178x = 4,097,024,064
5. Step 5: Solve for x
   x = 4,097,024,064/29,178
6. Step 6: Final answer
   x = 140,414.84