Finding the Third Proportional to 72,963 and 109,521

Step by Step Solution

1. Step 1: Write the proportion equation
   72,963 : 109,521 = 109,521 : x
2. Step 2: Convert to fraction form
   72,963/109,521 = 109,521/x
3. Step 3: Cross multiply
   72,963x = 109,521 × 109,521
4. Step 4: Simplify right side
   72,963x = 11,994,849,441
5. Step 5: Solve for x
   x = 11,994,849,441/72,963
6. Step 6: Final answer
   x = 164,396.33