Finding the Third Proportional to 11,534.50 and 23,927

Step by Step Solution

1. Step 1: Write the proportion equation
   11,534.50 : 23,927 = 23,927 : x
2. Step 2: Convert to fraction form
   11,534.50/23,927 = 23,927/x
3. Step 3: Cross multiply
   11,534.50x = 23,927 × 23,927
4. Step 4: Simplify right side
   11,534.50x = 572,501,329
5. Step 5: Solve for x
   x = 572,501,329/11,534.50
6. Step 6: Final answer
   x = 49,633.82