Finding the Third Proportional to 21,188 and 49,262

Step by Step Solution

1. Step 1: Write the proportion equation
   21,188 : 49,262 = 49,262 : x
2. Step 2: Convert to fraction form
   21,188/49,262 = 49,262/x
3. Step 3: Cross multiply
   21,188x = 49,262 × 49,262
4. Step 4: Simplify right side
   21,188x = 2,426,744,644
5. Step 5: Solve for x
   x = 2,426,744,644/21,188
6. Step 6: Final answer
   x = 114,533.92