Finding the Third Proportional to 35,904.94 and 77,140.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,904.94 : 77,140.69 = 77,140.69 : x
2. Step 2: Convert to fraction form
   35,904.94/77,140.69 = 77,140.69/x
3. Step 3: Cross multiply
   35,904.94x = 77,140.69 × 77,140.69
4. Step 4: Simplify right side
   35,904.94x = 5,950,685,667.97
5. Step 5: Solve for x
   x = 5,950,685,667.97/35,904.94
6. Step 6: Final answer
   x = 165,734.47