Finding the Third Proportional to 9,140 and 14,710

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140 : 14,710 = 14,710 : x
2. Step 2: Convert to fraction form
   9,140/14,710 = 14,710/x
3. Step 3: Cross multiply
   9,140x = 14,710 × 14,710
4. Step 4: Simplify right side
   9,140x = 216,384,100
5. Step 5: Solve for x
   x = 216,384,100/9,140
6. Step 6: Final answer
   x = 23,674.41