Finding the Third Proportional to 35,790.19 and 77,077.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,790.19 : 77,077.69 = 77,077.69 : x
2. Step 2: Convert to fraction form
   35,790.19/77,077.69 = 77,077.69/x
3. Step 3: Cross multiply
   35,790.19x = 77,077.69 × 77,077.69
4. Step 4: Simplify right side
   35,790.19x = 5,940,969,910.35
5. Step 5: Solve for x
   x = 5,940,969,910.35/35,790.19
6. Step 6: Final answer
   x = 165,994.38