Finding the Third Proportional to 35,604 and 76,850

Step by Step Solution

1. Step 1: Write the proportion equation
   35,604 : 76,850 = 76,850 : x
2. Step 2: Convert to fraction form
   35,604/76,850 = 76,850/x
3. Step 3: Cross multiply
   35,604x = 76,850 × 76,850
4. Step 4: Simplify right side
   35,604x = 5,905,922,500
5. Step 5: Solve for x
   x = 5,905,922,500/35,604
6. Step 6: Final answer
   x = 165,878.06