Finding the Third Proportional to 35,788.50 and 77,166

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788.50 : 77,166 = 77,166 : x
2. Step 2: Convert to fraction form
   35,788.50/77,166 = 77,166/x
3. Step 3: Cross multiply
   35,788.50x = 77,166 × 77,166
4. Step 4: Simplify right side
   35,788.50x = 5,954,591,556
5. Step 5: Solve for x
   x = 5,954,591,556/35,788.50
6. Step 6: Final answer
   x = 166,382.82