Finding the Third Proportional to 7,688 and 17,972

Step by Step Solution

1. Step 1: Write the proportion equation
   7,688 : 17,972 = 17,972 : x
2. Step 2: Convert to fraction form
   7,688/17,972 = 17,972/x
3. Step 3: Cross multiply
   7,688x = 17,972 × 17,972
4. Step 4: Simplify right side
   7,688x = 322,992,784
5. Step 5: Solve for x
   x = 322,992,784/7,688
6. Step 6: Final answer
   x = 42,012.59