Finding the Third Proportional to 17,788 and 25,763

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788 : 25,763 = 25,763 : x
2. Step 2: Convert to fraction form
   17,788/25,763 = 25,763/x
3. Step 3: Cross multiply
   17,788x = 25,763 × 25,763
4. Step 4: Simplify right side
   17,788x = 663,732,169
5. Step 5: Solve for x
   x = 663,732,169/17,788
6. Step 6: Final answer
   x = 37,313.48