Finding the Third Proportional to 37,725.75 and 77,843.53

Step by Step Solution

1. Step 1: Write the proportion equation
   37,725.75 : 77,843.53 = 77,843.53 : x
2. Step 2: Convert to fraction form
   37,725.75/77,843.53 = 77,843.53/x
3. Step 3: Cross multiply
   37,725.75x = 77,843.53 × 77,843.53
4. Step 4: Simplify right side
   37,725.75x = 6,059,615,357.47
5. Step 5: Solve for x
   x = 6,059,615,357.47/37,725.75
6. Step 6: Final answer
   x = 160,622.79