Finding the Third Proportional to 35,408 and 56,352

Step by Step Solution

1. Step 1: Write the proportion equation
   35,408 : 56,352 = 56,352 : x
2. Step 2: Convert to fraction form
   35,408/56,352 = 56,352/x
3. Step 3: Cross multiply
   35,408x = 56,352 × 56,352
4. Step 4: Simplify right side
   35,408x = 3,175,547,904
5. Step 5: Solve for x
   x = 3,175,547,904/35,408
6. Step 6: Final answer
   x = 89,684.48