Finding the Third Proportional to 15,148 and 32,096

Step by Step Solution

1. Step 1: Write the proportion equation
   15,148 : 32,096 = 32,096 : x
2. Step 2: Convert to fraction form
   15,148/32,096 = 32,096/x
3. Step 3: Cross multiply
   15,148x = 32,096 × 32,096
4. Step 4: Simplify right side
   15,148x = 1,030,153,216
5. Step 5: Solve for x
   x = 1,030,153,216/15,148
6. Step 6: Final answer
   x = 68,005.89