Finding the Third Proportional to 35,011.50 and 76,826

Step by Step Solution

1. Step 1: Write the proportion equation
   35,011.50 : 76,826 = 76,826 : x
2. Step 2: Convert to fraction form
   35,011.50/76,826 = 76,826/x
3. Step 3: Cross multiply
   35,011.50x = 76,826 × 76,826
4. Step 4: Simplify right side
   35,011.50x = 5,902,234,276
5. Step 5: Solve for x
   x = 5,902,234,276/35,011.50
6. Step 6: Final answer
   x = 168,579.87