Finding the Third Proportional to 29,402 and 64,105

Step by Step Solution

1. Step 1: Write the proportion equation
   29,402 : 64,105 = 64,105 : x
2. Step 2: Convert to fraction form
   29,402/64,105 = 64,105/x
3. Step 3: Cross multiply
   29,402x = 64,105 × 64,105
4. Step 4: Simplify right side
   29,402x = 4,109,451,025
5. Step 5: Solve for x
   x = 4,109,451,025/29,402
6. Step 6: Final answer
   x = 139,767.74