Finding the Third Proportional to 34,326 and 51,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,326 : 51,664.50 = 51,664.50 : x
2. Step 2: Convert to fraction form
   34,326/51,664.50 = 51,664.50/x
3. Step 3: Cross multiply
   34,326x = 51,664.50 × 51,664.50
4. Step 4: Simplify right side
   34,326x = 2,669,220,560.25
5. Step 5: Solve for x
   x = 2,669,220,560.25/34,326
6. Step 6: Final answer
   x = 77,760.90