Finding the Third Proportional to 5,090.63 and 10,947.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,090.63 : 10,947.38 = 10,947.38 : x
2. Step 2: Convert to fraction form
   5,090.63/10,947.38 = 10,947.38/x
3. Step 3: Cross multiply
   5,090.63x = 10,947.38 × 10,947.38
4. Step 4: Simplify right side
   5,090.63x = 119,845,019.39
5. Step 5: Solve for x
   x = 119,845,019.39/5,090.63
6. Step 6: Final answer
   x = 23,542.30