Finding the Third Proportional to 9,752 and 15,618

Step by Step Solution

1. Step 1: Write the proportion equation
   9,752 : 15,618 = 15,618 : x
2. Step 2: Convert to fraction form
   9,752/15,618 = 15,618/x
3. Step 3: Cross multiply
   9,752x = 15,618 × 15,618
4. Step 4: Simplify right side
   9,752x = 243,921,924
5. Step 5: Solve for x
   x = 243,921,924/9,752
6. Step 6: Final answer
   x = 25,012.50