Finding the Third Proportional to 10,471.63 and 22,583.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,471.63 : 22,583.38 = 22,583.38 : x
2. Step 2: Convert to fraction form
   10,471.63/22,583.38 = 22,583.38/x
3. Step 3: Cross multiply
   10,471.63x = 22,583.38 × 22,583.38
4. Step 4: Simplify right side
   10,471.63x = 510,008,826.39
5. Step 5: Solve for x
   x = 510,008,826.39/10,471.63
6. Step 6: Final answer
   x = 48,703.89