Finding the Third Proportional to 37,882.50 and 56,823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882.50 : 56,823.75 = 56,823.75 : x
2. Step 2: Convert to fraction form
   37,882.50/56,823.75 = 56,823.75/x
3. Step 3: Cross multiply
   37,882.50x = 56,823.75 × 56,823.75
4. Step 4: Simplify right side
   37,882.50x = 3,228,938,564.06
5. Step 5: Solve for x
   x = 3,228,938,564.06/37,882.50
6. Step 6: Final answer
   x = 85,235.63