Finding the Third Proportional to 43,827 and 65,665

Step by Step Solution

1. Step 1: Write the proportion equation
   43,827 : 65,665 = 65,665 : x
2. Step 2: Convert to fraction form
   43,827/65,665 = 65,665/x
3. Step 3: Cross multiply
   43,827x = 65,665 × 65,665
4. Step 4: Simplify right side
   43,827x = 4,311,892,225
5. Step 5: Solve for x
   x = 4,311,892,225/43,827
6. Step 6: Final answer
   x = 98,384.38