Finding the Third Proportional to 37,836 and 78,780

Step by Step Solution

1. Step 1: Write the proportion equation
   37,836 : 78,780 = 78,780 : x
2. Step 2: Convert to fraction form
   37,836/78,780 = 78,780/x
3. Step 3: Cross multiply
   37,836x = 78,780 × 78,780
4. Step 4: Simplify right side
   37,836x = 6,206,288,400
5. Step 5: Solve for x
   x = 6,206,288,400/37,836
6. Step 6: Final answer
   x = 164,031.30