Finding the Third Proportional to 38,151.75 and 79,788.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,151.75 : 79,788.56 = 79,788.56 : x
2. Step 2: Convert to fraction form
   38,151.75/79,788.56 = 79,788.56/x
3. Step 3: Cross multiply
   38,151.75x = 79,788.56 × 79,788.56
4. Step 4: Simplify right side
   38,151.75x = 6,366,214,705.82
5. Step 5: Solve for x
   x = 6,366,214,705.82/38,151.75
6. Step 6: Final answer
   x = 166,865.60