Finding the Third Proportional to 35,716 and 77,071

Step by Step Solution

1. Step 1: Write the proportion equation
   35,716 : 77,071 = 77,071 : x
2. Step 2: Convert to fraction form
   35,716/77,071 = 77,071/x
3. Step 3: Cross multiply
   35,716x = 77,071 × 77,071
4. Step 4: Simplify right side
   35,716x = 5,939,939,041
5. Step 5: Solve for x
   x = 5,939,939,041/35,716
6. Step 6: Final answer
   x = 166,310.31