Finding the Third Proportional to 37,743 and 78,549

Step by Step Solution

1. Step 1: Write the proportion equation
   37,743 : 78,549 = 78,549 : x
2. Step 2: Convert to fraction form
   37,743/78,549 = 78,549/x
3. Step 3: Cross multiply
   37,743x = 78,549 × 78,549
4. Step 4: Simplify right side
   37,743x = 6,169,945,401
5. Step 5: Solve for x
   x = 6,169,945,401/37,743
6. Step 6: Final answer
   x = 163,472.58