Finding the Third Proportional to 17,696 and 37,808

Step by Step Solution

1. Step 1: Write the proportion equation
   17,696 : 37,808 = 37,808 : x
2. Step 2: Convert to fraction form
   17,696/37,808 = 37,808/x
3. Step 3: Cross multiply
   17,696x = 37,808 × 37,808
4. Step 4: Simplify right side
   17,696x = 1,429,444,864
5. Step 5: Solve for x
   x = 1,429,444,864/17,696
6. Step 6: Final answer
   x = 80,777.85