Finding the Third Proportional to 53,648 and 76,605

Step by Step Solution

1. Step 1: Write the proportion equation
   53,648 : 76,605 = 76,605 : x
2. Step 2: Convert to fraction form
   53,648/76,605 = 76,605/x
3. Step 3: Cross multiply
   53,648x = 76,605 × 76,605
4. Step 4: Simplify right side
   53,648x = 5,868,326,025
5. Step 5: Solve for x
   x = 5,868,326,025/53,648
6. Step 6: Final answer
   x = 109,385.74