Finding the Third Proportional to 35,374 and 77,065

Step by Step Solution

1. Step 1: Write the proportion equation
   35,374 : 77,065 = 77,065 : x
2. Step 2: Convert to fraction form
   35,374/77,065 = 77,065/x
3. Step 3: Cross multiply
   35,374x = 77,065 × 77,065
4. Step 4: Simplify right side
   35,374x = 5,939,014,225
5. Step 5: Solve for x
   x = 5,939,014,225/35,374
6. Step 6: Final answer
   x = 167,892.07