Finding the Third Proportional to 32,810 and 75,096

Step by Step Solution

1. Step 1: Write the proportion equation
   32,810 : 75,096 = 75,096 : x
2. Step 2: Convert to fraction form
   32,810/75,096 = 75,096/x
3. Step 3: Cross multiply
   32,810x = 75,096 × 75,096
4. Step 4: Simplify right side
   32,810x = 5,639,409,216
5. Step 5: Solve for x
   x = 5,639,409,216/32,810
6. Step 6: Final answer
   x = 171,880.81