Finding the Third Proportional to 43,414 and 65,586

Step by Step Solution

1. Step 1: Write the proportion equation
   43,414 : 65,586 = 65,586 : x
2. Step 2: Convert to fraction form
   43,414/65,586 = 65,586/x
3. Step 3: Cross multiply
   43,414x = 65,586 × 65,586
4. Step 4: Simplify right side
   43,414x = 4,301,523,396
5. Step 5: Solve for x
   x = 4,301,523,396/43,414
6. Step 6: Final answer
   x = 99,081.48