Finding the Third Proportional to 34,433 and 53,168

Step by Step Solution

1. Step 1: Write the proportion equation
   34,433 : 53,168 = 53,168 : x
2. Step 2: Convert to fraction form
   34,433/53,168 = 53,168/x
3. Step 3: Cross multiply
   34,433x = 53,168 × 53,168
4. Step 4: Simplify right side
   34,433x = 2,826,836,224
5. Step 5: Solve for x
   x = 2,826,836,224/34,433
6. Step 6: Final answer
   x = 82,096.72