Finding the Third Proportional to 11,092.50 and 23,857

Step by Step Solution

1. Step 1: Write the proportion equation
   11,092.50 : 23,857 = 23,857 : x
2. Step 2: Convert to fraction form
   11,092.50/23,857 = 23,857/x
3. Step 3: Cross multiply
   11,092.50x = 23,857 × 23,857
4. Step 4: Simplify right side
   11,092.50x = 569,156,449
5. Step 5: Solve for x
   x = 569,156,449/11,092.50
6. Step 6: Final answer
   x = 51,310.02