Finding the Third Proportional to 37,827 and 54,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 54,958.50 = 54,958.50 : x
2. Step 2: Convert to fraction form
   37,827/54,958.50 = 54,958.50/x
3. Step 3: Cross multiply
   37,827x = 54,958.50 × 54,958.50
4. Step 4: Simplify right side
   37,827x = 3,020,436,722.25
5. Step 5: Solve for x
   x = 3,020,436,722.25/37,827
6. Step 6: Final answer
   x = 79,848.70