Finding the Third Proportional to 11,191 and 23,534

Step by Step Solution

1. Step 1: Write the proportion equation
   11,191 : 23,534 = 23,534 : x
2. Step 2: Convert to fraction form
   11,191/23,534 = 23,534/x
3. Step 3: Cross multiply
   11,191x = 23,534 × 23,534
4. Step 4: Simplify right side
   11,191x = 553,849,156
5. Step 5: Solve for x
   x = 553,849,156/11,191
6. Step 6: Final answer
   x = 49,490.59