Finding the Third Proportional to 37.50 and 56.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 56.25 = 56.25 : x
2. Step 2: Convert to fraction form
   37.50/56.25 = 56.25/x
3. Step 3: Cross multiply
   37.50x = 56.25 × 56.25
4. Step 4: Simplify right side
   37.50x = 3,164.06
5. Step 5: Solve for x
   x = 3,164.06/37.50
6. Step 6: Final answer
   x = 84.38