Finding the Third Proportional to 17,259 and 37,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,259 : 37,747.50 = 37,747.50 : x
2. Step 2: Convert to fraction form
   17,259/37,747.50 = 37,747.50/x
3. Step 3: Cross multiply
   17,259x = 37,747.50 × 37,747.50
4. Step 4: Simplify right side
   17,259x = 1,424,873,756.25
5. Step 5: Solve for x
   x = 1,424,873,756.25/17,259
6. Step 6: Final answer
   x = 82,558.30