Finding the Third Proportional to 34,284 and 51,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,284 : 51,791.50 = 51,791.50 : x
2. Step 2: Convert to fraction form
   34,284/51,791.50 = 51,791.50/x
3. Step 3: Cross multiply
   34,284x = 51,791.50 × 51,791.50
4. Step 4: Simplify right side
   34,284x = 2,682,359,472.25
5. Step 5: Solve for x
   x = 2,682,359,472.25/34,284
6. Step 6: Final answer
   x = 78,239.40