Finding the Third Proportional to 37,560 and 56,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,560 : 56,222.75 = 56,222.75 : x
2. Step 2: Convert to fraction form
   37,560/56,222.75 = 56,222.75/x
3. Step 3: Cross multiply
   37,560x = 56,222.75 × 56,222.75
4. Step 4: Simplify right side
   37,560x = 3,160,997,617.56
5. Step 5: Solve for x
   x = 3,160,997,617.56/37,560
6. Step 6: Final answer
   x = 84,158.62