Finding the Third Proportional to 67,302 and 105,586

Step by Step Solution

1. Step 1: Write the proportion equation
   67,302 : 105,586 = 105,586 : x
2. Step 2: Convert to fraction form
   67,302/105,586 = 105,586/x
3. Step 3: Cross multiply
   67,302x = 105,586 × 105,586
4. Step 4: Simplify right side
   67,302x = 11,148,403,396
5. Step 5: Solve for x
   x = 11,148,403,396/67,302
6. Step 6: Final answer
   x = 165,647.43