Finding the Third Proportional to 40,760 and 84,139

Step by Step Solution

1. Step 1: Write the proportion equation
   40,760 : 84,139 = 84,139 : x
2. Step 2: Convert to fraction form
   40,760/84,139 = 84,139/x
3. Step 3: Cross multiply
   40,760x = 84,139 × 84,139
4. Step 4: Simplify right side
   40,760x = 7,079,371,321
5. Step 5: Solve for x
   x = 7,079,371,321/40,760
6. Step 6: Final answer
   x = 173,684.28