Finding the Third Proportional to 33,976.13 and 53,029.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,976.13 : 53,029.69 = 53,029.69 : x
2. Step 2: Convert to fraction form
   33,976.13/53,029.69 = 53,029.69/x
3. Step 3: Cross multiply
   33,976.13x = 53,029.69 × 53,029.69
4. Step 4: Simplify right side
   33,976.13x = 2,812,147,756.35
5. Step 5: Solve for x
   x = 2,812,147,756.35/33,976.13
6. Step 6: Final answer
   x = 82,768.35