Finding the Third Proportional to 65,664 and 89,280

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 89,280 = 89,280 : x
2. Step 2: Convert to fraction form
   65,664/89,280 = 89,280/x
3. Step 3: Cross multiply
   65,664x = 89,280 × 89,280
4. Step 4: Simplify right side
   65,664x = 7,970,918,400
5. Step 5: Solve for x
   x = 7,970,918,400/65,664
6. Step 6: Final answer
   x = 121,389.47