Finding the Third Proportional to 9,152 and 19,738

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152 : 19,738 = 19,738 : x
2. Step 2: Convert to fraction form
   9,152/19,738 = 19,738/x
3. Step 3: Cross multiply
   9,152x = 19,738 × 19,738
4. Step 4: Simplify right side
   9,152x = 389,588,644
5. Step 5: Solve for x
   x = 389,588,644/9,152
6. Step 6: Final answer
   x = 42,568.69