Finding the Third Proportional to 65,466 and 100,755

Step by Step Solution

1. Step 1: Write the proportion equation
   65,466 : 100,755 = 100,755 : x
2. Step 2: Convert to fraction form
   65,466/100,755 = 100,755/x
3. Step 3: Cross multiply
   65,466x = 100,755 × 100,755
4. Step 4: Simplify right side
   65,466x = 10,151,570,025
5. Step 5: Solve for x
   x = 10,151,570,025/65,466
6. Step 6: Final answer
   x = 155,066.29