Finding the Third Proportional to 35,748 and 78,408

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 78,408 = 78,408 : x
2. Step 2: Convert to fraction form
   35,748/78,408 = 78,408/x
3. Step 3: Cross multiply
   35,748x = 78,408 × 78,408
4. Step 4: Simplify right side
   35,748x = 6,147,814,464
5. Step 5: Solve for x
   x = 6,147,814,464/35,748
6. Step 6: Final answer
   x = 171,976.46