Finding the Third Proportional to 10,581 and 12,501

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581 : 12,501 = 12,501 : x
2. Step 2: Convert to fraction form
   10,581/12,501 = 12,501/x
3. Step 3: Cross multiply
   10,581x = 12,501 × 12,501
4. Step 4: Simplify right side
   10,581x = 156,275,001
5. Step 5: Solve for x
   x = 156,275,001/10,581
6. Step 6: Final answer
   x = 14,769.40