Finding the Third Proportional to 34,578 and 53,488

Step by Step Solution

1. Step 1: Write the proportion equation
   34,578 : 53,488 = 53,488 : x
2. Step 2: Convert to fraction form
   34,578/53,488 = 53,488/x
3. Step 3: Cross multiply
   34,578x = 53,488 × 53,488
4. Step 4: Simplify right side
   34,578x = 2,860,966,144
5. Step 5: Solve for x
   x = 2,860,966,144/34,578
6. Step 6: Final answer
   x = 82,739.49