Finding the Third Proportional to 9,100 and 14,470

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100 : 14,470 = 14,470 : x
2. Step 2: Convert to fraction form
   9,100/14,470 = 14,470/x
3. Step 3: Cross multiply
   9,100x = 14,470 × 14,470
4. Step 4: Simplify right side
   9,100x = 209,380,900
5. Step 5: Solve for x
   x = 209,380,900/9,100
6. Step 6: Final answer
   x = 23,008.89