Finding the Third Proportional to 11,506 and 12,730

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506 : 12,730 = 12,730 : x
2. Step 2: Convert to fraction form
   11,506/12,730 = 12,730/x
3. Step 3: Cross multiply
   11,506x = 12,730 × 12,730
4. Step 4: Simplify right side
   11,506x = 162,052,900
5. Step 5: Solve for x
   x = 162,052,900/11,506
6. Step 6: Final answer
   x = 14,084.21