Finding the Third Proportional to 37,800 and 78,048

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 78,048 = 78,048 : x
2. Step 2: Convert to fraction form
   37,800/78,048 = 78,048/x
3. Step 3: Cross multiply
   37,800x = 78,048 × 78,048
4. Step 4: Simplify right side
   37,800x = 6,091,490,304
5. Step 5: Solve for x
   x = 6,091,490,304/37,800
6. Step 6: Final answer
   x = 161,150.54