Finding the Third Proportional to 11,457 and 23,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,457 : 23,869.50 = 23,869.50 : x
2. Step 2: Convert to fraction form
   11,457/23,869.50 = 23,869.50/x
3. Step 3: Cross multiply
   11,457x = 23,869.50 × 23,869.50
4. Step 4: Simplify right side
   11,457x = 569,753,030.25
5. Step 5: Solve for x
   x = 569,753,030.25/11,457
6. Step 6: Final answer
   x = 49,729.69