Finding the Third Proportional to 37,660.41 and 78,441.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,660.41 : 78,441.94 = 78,441.94 : x
2. Step 2: Convert to fraction form
   37,660.41/78,441.94 = 78,441.94/x
3. Step 3: Cross multiply
   37,660.41x = 78,441.94 × 78,441.94
4. Step 4: Simplify right side
   37,660.41x = 6,153,137,558.75
5. Step 5: Solve for x
   x = 6,153,137,558.75/37,660.41
6. Step 6: Final answer
   x = 163,384.79