Finding the Third Proportional to 36,992 and 72,139

Step by Step Solution

1. Step 1: Write the proportion equation
   36,992 : 72,139 = 72,139 : x
2. Step 2: Convert to fraction form
   36,992/72,139 = 72,139/x
3. Step 3: Cross multiply
   36,992x = 72,139 × 72,139
4. Step 4: Simplify right side
   36,992x = 5,204,035,321
5. Step 5: Solve for x
   x = 5,204,035,321/36,992
6. Step 6: Final answer
   x = 140,680.02