Finding the Third Proportional to 17,634 and 25,776

Step by Step Solution

1. Step 1: Write the proportion equation
   17,634 : 25,776 = 25,776 : x
2. Step 2: Convert to fraction form
   17,634/25,776 = 25,776/x
3. Step 3: Cross multiply
   17,634x = 25,776 × 25,776
4. Step 4: Simplify right side
   17,634x = 664,402,176
5. Step 5: Solve for x
   x = 664,402,176/17,634
6. Step 6: Final answer
   x = 37,677.34