Finding the Third Proportional to 35,507 and 77,089

Step by Step Solution

1. Step 1: Write the proportion equation
   35,507 : 77,089 = 77,089 : x
2. Step 2: Convert to fraction form
   35,507/77,089 = 77,089/x
3. Step 3: Cross multiply
   35,507x = 77,089 × 77,089
4. Step 4: Simplify right side
   35,507x = 5,942,713,921
5. Step 5: Solve for x
   x = 5,942,713,921/35,507
6. Step 6: Final answer
   x = 167,367.39