Finding the Third Proportional to 30,832 and 72,560

Step by Step Solution

1. Step 1: Write the proportion equation
   30,832 : 72,560 = 72,560 : x
2. Step 2: Convert to fraction form
   30,832/72,560 = 72,560/x
3. Step 3: Cross multiply
   30,832x = 72,560 × 72,560
4. Step 4: Simplify right side
   30,832x = 5,264,953,600
5. Step 5: Solve for x
   x = 5,264,953,600/30,832
6. Step 6: Final answer
   x = 170,762.64