Finding the Third Proportional to 35,920 and 52,808

Step by Step Solution

1. Step 1: Write the proportion equation
   35,920 : 52,808 = 52,808 : x
2. Step 2: Convert to fraction form
   35,920/52,808 = 52,808/x
3. Step 3: Cross multiply
   35,920x = 52,808 × 52,808
4. Step 4: Simplify right side
   35,920x = 2,788,684,864
5. Step 5: Solve for x
   x = 2,788,684,864/35,920
6. Step 6: Final answer
   x = 77,635.99