Finding the Third Proportional to 65,421 and 103,761

Step by Step Solution

1. Step 1: Write the proportion equation
   65,421 : 103,761 = 103,761 : x
2. Step 2: Convert to fraction form
   65,421/103,761 = 103,761/x
3. Step 3: Cross multiply
   65,421x = 103,761 × 103,761
4. Step 4: Simplify right side
   65,421x = 10,766,345,121
5. Step 5: Solve for x
   x = 10,766,345,121/65,421
6. Step 6: Final answer
   x = 164,570.17