Finding the Third Proportional to 15,145 and 31,513

Step by Step Solution

1. Step 1: Write the proportion equation
   15,145 : 31,513 = 31,513 : x
2. Step 2: Convert to fraction form
   15,145/31,513 = 31,513/x
3. Step 3: Cross multiply
   15,145x = 31,513 × 31,513
4. Step 4: Simplify right side
   15,145x = 993,069,169
5. Step 5: Solve for x
   x = 993,069,169/15,145
6. Step 6: Final answer
   x = 65,570.76