Finding the Third Proportional to 35,529 and 77,088

Step by Step Solution

1. Step 1: Write the proportion equation
   35,529 : 77,088 = 77,088 : x
2. Step 2: Convert to fraction form
   35,529/77,088 = 77,088/x
3. Step 3: Cross multiply
   35,529x = 77,088 × 77,088
4. Step 4: Simplify right side
   35,529x = 5,942,559,744
5. Step 5: Solve for x
   x = 5,942,559,744/35,529
6. Step 6: Final answer
   x = 167,259.41