Finding the Third Proportional to 15,005 and 31,429

Step by Step Solution

1. Step 1: Write the proportion equation
   15,005 : 31,429 = 31,429 : x
2. Step 2: Convert to fraction form
   15,005/31,429 = 31,429/x
3. Step 3: Cross multiply
   15,005x = 31,429 × 31,429
4. Step 4: Simplify right side
   15,005x = 987,782,041
5. Step 5: Solve for x
   x = 987,782,041/15,005
6. Step 6: Final answer
   x = 65,830.19