Finding the Third Proportional to 33,030 and 72,078

Step by Step Solution

1. Step 1: Write the proportion equation
   33,030 : 72,078 = 72,078 : x
2. Step 2: Convert to fraction form
   33,030/72,078 = 72,078/x
3. Step 3: Cross multiply
   33,030x = 72,078 × 72,078
4. Step 4: Simplify right side
   33,030x = 5,195,238,084
5. Step 5: Solve for x
   x = 5,195,238,084/33,030
6. Step 6: Final answer
   x = 157,288.47