Finding the Third Proportional to 14,780.40 and 22,949.62

Step by Step Solution

1. Step 1: Write the proportion equation
   14,780.40 : 22,949.62 = 22,949.62 : x
2. Step 2: Convert to fraction form
   14,780.40/22,949.62 = 22,949.62/x
3. Step 3: Cross multiply
   14,780.40x = 22,949.62 × 22,949.62
4. Step 4: Simplify right side
   14,780.40x = 526,684,951.46
5. Step 5: Solve for x
   x = 526,684,951.46/14,780.40
6. Step 6: Final answer
   x = 35,634.00