Finding the Third Proportional to 15,196 and 32,663

Step by Step Solution

1. Step 1: Write the proportion equation
   15,196 : 32,663 = 32,663 : x
2. Step 2: Convert to fraction form
   15,196/32,663 = 32,663/x
3. Step 3: Cross multiply
   15,196x = 32,663 × 32,663
4. Step 4: Simplify right side
   15,196x = 1,066,871,569
5. Step 5: Solve for x
   x = 1,066,871,569/15,196
6. Step 6: Final answer
   x = 70,207.39