Finding the Third Proportional to 37,651.50 and 85,704.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,651.50 : 85,704.75 = 85,704.75 : x
2. Step 2: Convert to fraction form
   37,651.50/85,704.75 = 85,704.75/x
3. Step 3: Cross multiply
   37,651.50x = 85,704.75 × 85,704.75
4. Step 4: Simplify right side
   37,651.50x = 7,345,304,172.56
5. Step 5: Solve for x
   x = 7,345,304,172.56/37,651.50
6. Step 6: Final answer
   x = 195,086.63