Finding the Third Proportional to 64,019 and 89,521

Step by Step Solution

1. Step 1: Write the proportion equation
   64,019 : 89,521 = 89,521 : x
2. Step 2: Convert to fraction form
   64,019/89,521 = 89,521/x
3. Step 3: Cross multiply
   64,019x = 89,521 × 89,521
4. Step 4: Simplify right side
   64,019x = 8,014,009,441
5. Step 5: Solve for x
   x = 8,014,009,441/64,019
6. Step 6: Final answer
   x = 125,181.73