Finding the Third Proportional to 38,169.56 and 83,410.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,169.56 : 83,410.69 = 83,410.69 : x
2. Step 2: Convert to fraction form
   38,169.56/83,410.69 = 83,410.69/x
3. Step 3: Cross multiply
   38,169.56x = 83,410.69 × 83,410.69
4. Step 4: Simplify right side
   38,169.56x = 6,957,342,789.22
5. Step 5: Solve for x
   x = 6,957,342,789.22/38,169.56
6. Step 6: Final answer
   x = 182,274.63