Finding the Third Proportional to 17,707.50 and 38,147.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,707.50 : 38,147.25 = 38,147.25 : x
2. Step 2: Convert to fraction form
   17,707.50/38,147.25 = 38,147.25/x
3. Step 3: Cross multiply
   17,707.50x = 38,147.25 × 38,147.25
4. Step 4: Simplify right side
   17,707.50x = 1,455,212,682.56
5. Step 5: Solve for x
   x = 1,455,212,682.56/17,707.50
6. Step 6: Final answer
   x = 82,180.58