Finding the Third Proportional to 59,664 and 91,224

Step by Step Solution

1. Step 1: Write the proportion equation
   59,664 : 91,224 = 91,224 : x
2. Step 2: Convert to fraction form
   59,664/91,224 = 91,224/x
3. Step 3: Cross multiply
   59,664x = 91,224 × 91,224
4. Step 4: Simplify right side
   59,664x = 8,321,818,176
5. Step 5: Solve for x
   x = 8,321,818,176/59,664
6. Step 6: Final answer
   x = 139,478.05