Finding the Third Proportional to 10,072 and 17,776

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 17,776 = 17,776 : x
2. Step 2: Convert to fraction form
   10,072/17,776 = 17,776/x
3. Step 3: Cross multiply
   10,072x = 17,776 × 17,776
4. Step 4: Simplify right side
   10,072x = 315,986,176
5. Step 5: Solve for x
   x = 315,986,176/10,072
6. Step 6: Final answer
   x = 31,372.73