Finding the Third Proportional to 4,806.84 and 8,429.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,806.84 : 8,429.06 = 8,429.06 : x
2. Step 2: Convert to fraction form
   4,806.84/8,429.06 = 8,429.06/x
3. Step 3: Cross multiply
   4,806.84x = 8,429.06 × 8,429.06
4. Step 4: Simplify right side
   4,806.84x = 71,049,094.63
5. Step 5: Solve for x
   x = 71,049,094.63/4,806.84
6. Step 6: Final answer
   x = 14,780.82