Finding the Third Proportional to 32,704 and 76,815

Step by Step Solution

1. Step 1: Write the proportion equation
   32,704 : 76,815 = 76,815 : x
2. Step 2: Convert to fraction form
   32,704/76,815 = 76,815/x
3. Step 3: Cross multiply
   32,704x = 76,815 × 76,815
4. Step 4: Simplify right side
   32,704x = 5,900,544,225
5. Step 5: Solve for x
   x = 5,900,544,225/32,704
6. Step 6: Final answer
   x = 180,422.71