Finding the Third Proportional to 33,176 and 72,560

Step by Step Solution

1. Step 1: Write the proportion equation
   33,176 : 72,560 = 72,560 : x
2. Step 2: Convert to fraction form
   33,176/72,560 = 72,560/x
3. Step 3: Cross multiply
   33,176x = 72,560 × 72,560
4. Step 4: Simplify right side
   33,176x = 5,264,953,600
5. Step 5: Solve for x
   x = 5,264,953,600/33,176
6. Step 6: Final answer
   x = 158,697.66