Finding the Third Proportional to 40,747 and 84,032

Step by Step Solution

1. Step 1: Write the proportion equation
   40,747 : 84,032 = 84,032 : x
2. Step 2: Convert to fraction form
   40,747/84,032 = 84,032/x
3. Step 3: Cross multiply
   40,747x = 84,032 × 84,032
4. Step 4: Simplify right side
   40,747x = 7,061,377,024
5. Step 5: Solve for x
   x = 7,061,377,024/40,747
6. Step 6: Final answer
   x = 173,298.08