Finding the Third Proportional to 43,274 and 65,724

Step by Step Solution

1. Step 1: Write the proportion equation
   43,274 : 65,724 = 65,724 : x
2. Step 2: Convert to fraction form
   43,274/65,724 = 65,724/x
3. Step 3: Cross multiply
   43,274x = 65,724 × 65,724
4. Step 4: Simplify right side
   43,274x = 4,319,644,176
5. Step 5: Solve for x
   x = 4,319,644,176/43,274
6. Step 6: Final answer
   x = 99,820.77