Finding the Third Proportional to 35,520 and 76,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,520 : 76,579.50 = 76,579.50 : x
2. Step 2: Convert to fraction form
   35,520/76,579.50 = 76,579.50/x
3. Step 3: Cross multiply
   35,520x = 76,579.50 × 76,579.50
4. Step 4: Simplify right side
   35,520x = 5,864,419,820.25
5. Step 5: Solve for x
   x = 5,864,419,820.25/35,520
6. Step 6: Final answer
   x = 165,101.91