Finding the Third Proportional to 7,462.13 and 15,683.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,462.13 : 15,683.63 = 15,683.63 : x
2. Step 2: Convert to fraction form
   7,462.13/15,683.63 = 15,683.63/x
3. Step 3: Cross multiply
   7,462.13x = 15,683.63 × 15,683.63
4. Step 4: Simplify right side
   7,462.13x = 245,976,093.14
5. Step 5: Solve for x
   x = 245,976,093.14/7,462.13
6. Step 6: Final answer
   x = 32,963.28