Finding the Third Proportional to 23,494 and 51,513

Step by Step Solution

1. Step 1: Write the proportion equation
   23,494 : 51,513 = 51,513 : x
2. Step 2: Convert to fraction form
   23,494/51,513 = 51,513/x
3. Step 3: Cross multiply
   23,494x = 51,513 × 51,513
4. Step 4: Simplify right side
   23,494x = 2,653,589,169
5. Step 5: Solve for x
   x = 2,653,589,169/23,494
6. Step 6: Final answer
   x = 112,947.53