Finding the Third Proportional to 37.50 and 56.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 56.63 = 56.63 : x
2. Step 2: Convert to fraction form
   37.50/56.63 = 56.63/x
3. Step 3: Cross multiply
   37.50x = 56.63 × 56.63
4. Step 4: Simplify right side
   37.50x = 3,206.39
5. Step 5: Solve for x
   x = 3,206.39/37.50
6. Step 6: Final answer
   x = 85.50