Finding the Third Proportional to 37,704.50 and 82,880.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,704.50 : 82,880.75 = 82,880.75 : x
2. Step 2: Convert to fraction form
   37,704.50/82,880.75 = 82,880.75/x
3. Step 3: Cross multiply
   37,704.50x = 82,880.75 × 82,880.75
4. Step 4: Simplify right side
   37,704.50x = 6,869,218,720.56
5. Step 5: Solve for x
   x = 6,869,218,720.56/37,704.50
6. Step 6: Final answer
   x = 182,185.65