Finding the Third Proportional to 4,655.92 and 10,302.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,655.92 : 10,302.82 = 10,302.82 : x
2. Step 2: Convert to fraction form
   4,655.92/10,302.82 = 10,302.82/x
3. Step 3: Cross multiply
   4,655.92x = 10,302.82 × 10,302.82
4. Step 4: Simplify right side
   4,655.92x = 106,148,106.39
5. Step 5: Solve for x
   x = 106,148,106.39/4,655.92
6. Step 6: Final answer
   x = 22,798.53