Finding the Third Proportional to 11,377 and 23,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,377 : 23,662.50 = 23,662.50 : x
2. Step 2: Convert to fraction form
   11,377/23,662.50 = 23,662.50/x
3. Step 3: Cross multiply
   11,377x = 23,662.50 × 23,662.50
4. Step 4: Simplify right side
   11,377x = 559,913,906.25
5. Step 5: Solve for x
   x = 559,913,906.25/11,377
6. Step 6: Final answer
   x = 49,214.55