Finding the Third Proportional to 42,944 and 65,697

Step by Step Solution

1. Step 1: Write the proportion equation
   42,944 : 65,697 = 65,697 : x
2. Step 2: Convert to fraction form
   42,944/65,697 = 65,697/x
3. Step 3: Cross multiply
   42,944x = 65,697 × 65,697
4. Step 4: Simplify right side
   42,944x = 4,316,095,809
5. Step 5: Solve for x
   x = 4,316,095,809/42,944
6. Step 6: Final answer
   x = 100,505.21