Finding the Third Proportional to 37,980 and 56,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 56,965.50 = 56,965.50 : x
2. Step 2: Convert to fraction form
   37,980/56,965.50 = 56,965.50/x
3. Step 3: Cross multiply
   37,980x = 56,965.50 × 56,965.50
4. Step 4: Simplify right side
   37,980x = 3,245,068,190.25
5. Step 5: Solve for x
   x = 3,245,068,190.25/37,980
6. Step 6: Final answer
   x = 85,441.50