Finding the Third Proportional to 9,100 and 19,760

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100 : 19,760 = 19,760 : x
2. Step 2: Convert to fraction form
   9,100/19,760 = 19,760/x
3. Step 3: Cross multiply
   9,100x = 19,760 × 19,760
4. Step 4: Simplify right side
   9,100x = 390,457,600
5. Step 5: Solve for x
   x = 390,457,600/9,100
6. Step 6: Final answer
   x = 42,907.43