Finding the Third Proportional to 40,825 and 63,084

Step by Step Solution

1. Step 1: Write the proportion equation
   40,825 : 63,084 = 63,084 : x
2. Step 2: Convert to fraction form
   40,825/63,084 = 63,084/x
3. Step 3: Cross multiply
   40,825x = 63,084 × 63,084
4. Step 4: Simplify right side
   40,825x = 3,979,591,056
5. Step 5: Solve for x
   x = 3,979,591,056/40,825
6. Step 6: Final answer
   x = 97,479.27