Finding the Third Proportional to 37,720.69 and 78,544.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,720.69 : 78,544.69 = 78,544.69 : x
2. Step 2: Convert to fraction form
   37,720.69/78,544.69 = 78,544.69/x
3. Step 3: Cross multiply
   37,720.69x = 78,544.69 × 78,544.69
4. Step 4: Simplify right side
   37,720.69x = 6,169,267,934.47
5. Step 5: Solve for x
   x = 6,169,267,934.47/37,720.69
6. Step 6: Final answer
   x = 163,551.31