Finding the Third Proportional to 14,560 and 31,786

Step by Step Solution

1. Step 1: Write the proportion equation
   14,560 : 31,786 = 31,786 : x
2. Step 2: Convert to fraction form
   14,560/31,786 = 31,786/x
3. Step 3: Cross multiply
   14,560x = 31,786 × 31,786
4. Step 4: Simplify right side
   14,560x = 1,010,349,796
5. Step 5: Solve for x
   x = 1,010,349,796/14,560
6. Step 6: Final answer
   x = 69,392.16