Finding the Third Proportional to 11,666 and 25,174

Step by Step Solution

1. Step 1: Write the proportion equation
   11,666 : 25,174 = 25,174 : x
2. Step 2: Convert to fraction form
   11,666/25,174 = 25,174/x
3. Step 3: Cross multiply
   11,666x = 25,174 × 25,174
4. Step 4: Simplify right side
   11,666x = 633,730,276
5. Step 5: Solve for x
   x = 633,730,276/11,666
6. Step 6: Final answer
   x = 54,322.84