Finding the Third Proportional to 33,120 and 72,448

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 72,448 = 72,448 : x
2. Step 2: Convert to fraction form
   33,120/72,448 = 72,448/x
3. Step 3: Cross multiply
   33,120x = 72,448 × 72,448
4. Step 4: Simplify right side
   33,120x = 5,248,712,704
5. Step 5: Solve for x
   x = 5,248,712,704/33,120
6. Step 6: Final answer
   x = 158,475.63