Finding the Third Proportional to 7,121.25 and 15,585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,121.25 : 15,585.38 = 15,585.38 : x
2. Step 2: Convert to fraction form
   7,121.25/15,585.38 = 15,585.38/x
3. Step 3: Cross multiply
   7,121.25x = 15,585.38 × 15,585.38
4. Step 4: Simplify right side
   7,121.25x = 242,903,913.89
5. Step 5: Solve for x
   x = 242,903,913.89/7,121.25
6. Step 6: Final answer
   x = 34,109.73