Finding the Third Proportional to 32,764.50 and 77,021

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764.50 : 77,021 = 77,021 : x
2. Step 2: Convert to fraction form
   32,764.50/77,021 = 77,021/x
3. Step 3: Cross multiply
   32,764.50x = 77,021 × 77,021
4. Step 4: Simplify right side
   32,764.50x = 5,932,234,441
5. Step 5: Solve for x
   x = 5,932,234,441/32,764.50
6. Step 6: Final answer
   x = 181,056.77