Finding the Third Proportional to 53,564 and 76,521

Step by Step Solution

1. Step 1: Write the proportion equation
   53,564 : 76,521 = 76,521 : x
2. Step 2: Convert to fraction form
   53,564/76,521 = 76,521/x
3. Step 3: Cross multiply
   53,564x = 76,521 × 76,521
4. Step 4: Simplify right side
   53,564x = 5,855,463,441
5. Step 5: Solve for x
   x = 5,855,463,441/53,564
6. Step 6: Final answer
   x = 109,317.14