Finding the Third Proportional to 33,051 and 51,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,051 : 51,034.50 = 51,034.50 : x
2. Step 2: Convert to fraction form
   33,051/51,034.50 = 51,034.50/x
3. Step 3: Cross multiply
   33,051x = 51,034.50 × 51,034.50
4. Step 4: Simplify right side
   33,051x = 2,604,520,190.25
5. Step 5: Solve for x
   x = 2,604,520,190.25/33,051
6. Step 6: Final answer
   x = 78,803.07