Finding the Third Proportional to 17,510 and 37,783

Step by Step Solution

1. Step 1: Write the proportion equation
   17,510 : 37,783 = 37,783 : x
2. Step 2: Convert to fraction form
   17,510/37,783 = 37,783/x
3. Step 3: Cross multiply
   17,510x = 37,783 × 37,783
4. Step 4: Simplify right side
   17,510x = 1,427,555,089
5. Step 5: Solve for x
   x = 1,427,555,089/17,510
6. Step 6: Final answer
   x = 81,527.99