Finding the Third Proportional to 35,685.56 and 77,339.81

Step by Step Solution

1. Step 1: Write the proportion equation
   35,685.56 : 77,339.81 = 77,339.81 : x
2. Step 2: Convert to fraction form
   35,685.56/77,339.81 = 77,339.81/x
3. Step 3: Cross multiply
   35,685.56x = 77,339.81 × 77,339.81
4. Step 4: Simplify right side
   35,685.56x = 5,981,446,597.54
5. Step 5: Solve for x
   x = 5,981,446,597.54/35,685.56
6. Step 6: Final answer
   x = 167,615.31