Finding the Third Proportional to 65,384 and 103,665

Step by Step Solution

1. Step 1: Write the proportion equation
   65,384 : 103,665 = 103,665 : x
2. Step 2: Convert to fraction form
   65,384/103,665 = 103,665/x
3. Step 3: Cross multiply
   65,384x = 103,665 × 103,665
4. Step 4: Simplify right side
   65,384x = 10,746,432,225
5. Step 5: Solve for x
   x = 10,746,432,225/65,384
6. Step 6: Final answer
   x = 164,358.75