Finding the Third Proportional to 35,996 and 78,549

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 78,549 = 78,549 : x
2. Step 2: Convert to fraction form
   35,996/78,549 = 78,549/x
3. Step 3: Cross multiply
   35,996x = 78,549 × 78,549
4. Step 4: Simplify right side
   35,996x = 6,169,945,401
5. Step 5: Solve for x
   x = 6,169,945,401/35,996
6. Step 6: Final answer
   x = 171,406.42