Finding the Third Proportional to 34,582 and 72,854

Step by Step Solution

1. Step 1: Write the proportion equation
   34,582 : 72,854 = 72,854 : x
2. Step 2: Convert to fraction form
   34,582/72,854 = 72,854/x
3. Step 3: Cross multiply
   34,582x = 72,854 × 72,854
4. Step 4: Simplify right side
   34,582x = 5,307,705,316
5. Step 5: Solve for x
   x = 5,307,705,316/34,582
6. Step 6: Final answer
   x = 153,481.73