Finding the Third Proportional to 37,992 and 82,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,992 : 82,423.50 = 82,423.50 : x
2. Step 2: Convert to fraction form
   37,992/82,423.50 = 82,423.50/x
3. Step 3: Cross multiply
   37,992x = 82,423.50 × 82,423.50
4. Step 4: Simplify right side
   37,992x = 6,793,633,352.25
5. Step 5: Solve for x
   x = 6,793,633,352.25/37,992
6. Step 6: Final answer
   x = 178,817.47