Finding the Third Proportional to 38,977.88 and 83,286.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,977.88 : 83,286.56 = 83,286.56 : x
2. Step 2: Convert to fraction form
   38,977.88/83,286.56 = 83,286.56/x
3. Step 3: Cross multiply
   38,977.88x = 83,286.56 × 83,286.56
4. Step 4: Simplify right side
   38,977.88x = 6,936,651,493.07
5. Step 5: Solve for x
   x = 6,936,651,493.07/38,977.88
6. Step 6: Final answer
   x = 177,963.82