Finding the Third Proportional to 35,769.94 and 77,690.81

Step by Step Solution

1. Step 1: Write the proportion equation
   35,769.94 : 77,690.81 = 77,690.81 : x
2. Step 2: Convert to fraction form
   35,769.94/77,690.81 = 77,690.81/x
3. Step 3: Cross multiply
   35,769.94x = 77,690.81 × 77,690.81
4. Step 4: Simplify right side
   35,769.94x = 6,035,862,346.91
5. Step 5: Solve for x
   x = 6,035,862,346.91/35,769.94
6. Step 6: Final answer
   x = 168,741.20