Finding the Third Proportional to 7,983 and 17,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,983 : 17,347.50 = 17,347.50 : x
2. Step 2: Convert to fraction form
   7,983/17,347.50 = 17,347.50/x
3. Step 3: Cross multiply
   7,983x = 17,347.50 × 17,347.50
4. Step 4: Simplify right side
   7,983x = 300,935,756.25
5. Step 5: Solve for x
   x = 300,935,756.25/7,983
6. Step 6: Final answer
   x = 37,697.08