Finding the Third Proportional to 34,128.50 and 51,669.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,128.50 : 51,669.75 = 51,669.75 : x
2. Step 2: Convert to fraction form
   34,128.50/51,669.75 = 51,669.75/x
3. Step 3: Cross multiply
   34,128.50x = 51,669.75 × 51,669.75
4. Step 4: Simplify right side
   34,128.50x = 2,669,763,065.06
5. Step 5: Solve for x
   x = 2,669,763,065.06/34,128.50
6. Step 6: Final answer
   x = 78,226.79