Finding the Third Proportional to 11,564 and 19,090

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 19,090 = 19,090 : x
2. Step 2: Convert to fraction form
   11,564/19,090 = 19,090/x
3. Step 3: Cross multiply
   11,564x = 19,090 × 19,090
4. Step 4: Simplify right side
   11,564x = 364,428,100
5. Step 5: Solve for x
   x = 364,428,100/11,564
6. Step 6: Final answer
   x = 31,514.02