Finding the Third Proportional to 29,408 and 64,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,408 : 64,103.50 = 64,103.50 : x
2. Step 2: Convert to fraction form
   29,408/64,103.50 = 64,103.50/x
3. Step 3: Cross multiply
   29,408x = 64,103.50 × 64,103.50
4. Step 4: Simplify right side
   29,408x = 4,109,258,712.25
5. Step 5: Solve for x
   x = 4,109,258,712.25/29,408
6. Step 6: Final answer
   x = 139,732.68