Finding the Third Proportional to 65,423 and 103,764

Step by Step Solution

1. Step 1: Write the proportion equation
   65,423 : 103,764 = 103,764 : x
2. Step 2: Convert to fraction form
   65,423/103,764 = 103,764/x
3. Step 3: Cross multiply
   65,423x = 103,764 × 103,764
4. Step 4: Simplify right side
   65,423x = 10,766,967,696
5. Step 5: Solve for x
   x = 10,766,967,696/65,423
6. Step 6: Final answer
   x = 164,574.66