Finding the Third Proportional to 37,661 and 78,441

Step by Step Solution

1. Step 1: Write the proportion equation
   37,661 : 78,441 = 78,441 : x
2. Step 2: Convert to fraction form
   37,661/78,441 = 78,441/x
3. Step 3: Cross multiply
   37,661x = 78,441 × 78,441
4. Step 4: Simplify right side
   37,661x = 6,152,990,481
5. Step 5: Solve for x
   x = 6,152,990,481/37,661
6. Step 6: Final answer
   x = 163,378.31