Finding the Third Proportional to 40,823 and 63,082

Step by Step Solution

1. Step 1: Write the proportion equation
   40,823 : 63,082 = 63,082 : x
2. Step 2: Convert to fraction form
   40,823/63,082 = 63,082/x
3. Step 3: Cross multiply
   40,823x = 63,082 × 63,082
4. Step 4: Simplify right side
   40,823x = 3,979,338,724
5. Step 5: Solve for x
   x = 3,979,338,724/40,823
6. Step 6: Final answer
   x = 97,477.86