Finding the Third Proportional to 17,688 and 25,164

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 25,164 = 25,164 : x
2. Step 2: Convert to fraction form
   17,688/25,164 = 25,164/x
3. Step 3: Cross multiply
   17,688x = 25,164 × 25,164
4. Step 4: Simplify right side
   17,688x = 633,226,896
5. Step 5: Solve for x
   x = 633,226,896/17,688
6. Step 6: Final answer
   x = 35,799.80