Finding the Third Proportional to 37,780.50 and 56,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780.50 : 56,676.75 = 56,676.75 : x
2. Step 2: Convert to fraction form
   37,780.50/56,676.75 = 56,676.75/x
3. Step 3: Cross multiply
   37,780.50x = 56,676.75 × 56,676.75
4. Step 4: Simplify right side
   37,780.50x = 3,212,253,990.56
5. Step 5: Solve for x
   x = 3,212,253,990.56/37,780.50
6. Step 6: Final answer
   x = 85,024.13