Finding the Third Proportional to 9,152 and 19,729

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152 : 19,729 = 19,729 : x
2. Step 2: Convert to fraction form
   9,152/19,729 = 19,729/x
3. Step 3: Cross multiply
   9,152x = 19,729 × 19,729
4. Step 4: Simplify right side
   9,152x = 389,233,441
5. Step 5: Solve for x
   x = 389,233,441/9,152
6. Step 6: Final answer
   x = 42,529.88