Finding the Third Proportional to 35,505 and 77,085

Step by Step Solution

1. Step 1: Write the proportion equation
   35,505 : 77,085 = 77,085 : x
2. Step 2: Convert to fraction form
   35,505/77,085 = 77,085/x
3. Step 3: Cross multiply
   35,505x = 77,085 × 77,085
4. Step 4: Simplify right side
   35,505x = 5,942,097,225
5. Step 5: Solve for x
   x = 5,942,097,225/35,505
6. Step 6: Final answer
   x = 167,359.45