Finding the Third Proportional to 37,256 and 56,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,256 : 56,365.50 = 56,365.50 : x
2. Step 2: Convert to fraction form
   37,256/56,365.50 = 56,365.50/x
3. Step 3: Cross multiply
   37,256x = 56,365.50 × 56,365.50
4. Step 4: Simplify right side
   37,256x = 3,177,069,590.25
5. Step 5: Solve for x
   x = 3,177,069,590.25/37,256
6. Step 6: Final answer
   x = 85,276.72