Finding the Third Proportional to 35,664 and 56,522

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 56,522 = 56,522 : x
2. Step 2: Convert to fraction form
   35,664/56,522 = 56,522/x
3. Step 3: Cross multiply
   35,664x = 56,522 × 56,522
4. Step 4: Simplify right side
   35,664x = 3,194,736,484
5. Step 5: Solve for x
   x = 3,194,736,484/35,664
6. Step 6: Final answer
   x = 89,578.75