Finding the Third Proportional to 37,645.50 and 56,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,645.50 : 56,788.50 = 56,788.50 : x
2. Step 2: Convert to fraction form
   37,645.50/56,788.50 = 56,788.50/x
3. Step 3: Cross multiply
   37,645.50x = 56,788.50 × 56,788.50
4. Step 4: Simplify right side
   37,645.50x = 3,224,933,732.25
5. Step 5: Solve for x
   x = 3,224,933,732.25/37,645.50
6. Step 6: Final answer
   x = 85,665.85