Finding the Third Proportional to 37,813.50 and 57,624.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,813.50 : 57,624.75 = 57,624.75 : x
2. Step 2: Convert to fraction form
   37,813.50/57,624.75 = 57,624.75/x
3. Step 3: Cross multiply
   37,813.50x = 57,624.75 × 57,624.75
4. Step 4: Simplify right side
   37,813.50x = 3,320,611,812.56
5. Step 5: Solve for x
   x = 3,320,611,812.56/37,813.50
6. Step 6: Final answer
   x = 87,815.51