Finding the Third Proportional to 10,154 and 15,501

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154 : 15,501 = 15,501 : x
2. Step 2: Convert to fraction form
   10,154/15,501 = 15,501/x
3. Step 3: Cross multiply
   10,154x = 15,501 × 15,501
4. Step 4: Simplify right side
   10,154x = 240,281,001
5. Step 5: Solve for x
   x = 240,281,001/10,154
6. Step 6: Final answer
   x = 23,663.68