Finding the Third Proportional to 35,688.50 and 76,858

Step by Step Solution

1. Step 1: Write the proportion equation
   35,688.50 : 76,858 = 76,858 : x
2. Step 2: Convert to fraction form
   35,688.50/76,858 = 76,858/x
3. Step 3: Cross multiply
   35,688.50x = 76,858 × 76,858
4. Step 4: Simplify right side
   35,688.50x = 5,907,152,164
5. Step 5: Solve for x
   x = 5,907,152,164/35,688.50
6. Step 6: Final answer
   x = 165,519.77