Finding the Third Proportional to 7,862 and 17,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,862 : 17,109.50 = 17,109.50 : x
2. Step 2: Convert to fraction form
   7,862/17,109.50 = 17,109.50/x
3. Step 3: Cross multiply
   7,862x = 17,109.50 × 17,109.50
4. Step 4: Simplify right side
   7,862x = 292,734,990.25
5. Step 5: Solve for x
   x = 292,734,990.25/7,862
6. Step 6: Final answer
   x = 37,234.16