Finding the Third Proportional to 32,764.50 and 50,409

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764.50 : 50,409 = 50,409 : x
2. Step 2: Convert to fraction form
   32,764.50/50,409 = 50,409/x
3. Step 3: Cross multiply
   32,764.50x = 50,409 × 50,409
4. Step 4: Simplify right side
   32,764.50x = 2,541,067,281
5. Step 5: Solve for x
   x = 2,541,067,281/32,764.50
6. Step 6: Final answer
   x = 77,555.50