Finding the Third Proportional to 53,003 and 76,647

Step by Step Solution

1. Step 1: Write the proportion equation
   53,003 : 76,647 = 76,647 : x
2. Step 2: Convert to fraction form
   53,003/76,647 = 76,647/x
3. Step 3: Cross multiply
   53,003x = 76,647 × 76,647
4. Step 4: Simplify right side
   53,003x = 5,874,762,609
5. Step 5: Solve for x
   x = 5,874,762,609/53,003
6. Step 6: Final answer
   x = 110,838.30