Finding the Third Proportional to 7,946 and 17,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,946 : 17,275.50 = 17,275.50 : x
2. Step 2: Convert to fraction form
   7,946/17,275.50 = 17,275.50/x
3. Step 3: Cross multiply
   7,946x = 17,275.50 × 17,275.50
4. Step 4: Simplify right side
   7,946x = 298,442,900.25
5. Step 5: Solve for x
   x = 298,442,900.25/7,946
6. Step 6: Final answer
   x = 37,558.89