Finding the Third Proportional to 33,026 and 51,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,026 : 51,159.50 = 51,159.50 : x
2. Step 2: Convert to fraction form
   33,026/51,159.50 = 51,159.50/x
3. Step 3: Cross multiply
   33,026x = 51,159.50 × 51,159.50
4. Step 4: Simplify right side
   33,026x = 2,617,294,440.25
5. Step 5: Solve for x
   x = 2,617,294,440.25/33,026
6. Step 6: Final answer
   x = 79,249.51