Finding the Third Proportional to 37,927 and 54,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,927 : 54,630.50 = 54,630.50 : x
2. Step 2: Convert to fraction form
   37,927/54,630.50 = 54,630.50/x
3. Step 3: Cross multiply
   37,927x = 54,630.50 × 54,630.50
4. Step 4: Simplify right side
   37,927x = 2,984,491,530.25
5. Step 5: Solve for x
   x = 2,984,491,530.25/37,927
6. Step 6: Final answer
   x = 78,690.42