Finding the Third Proportional to 5,147.50 and 10,902.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,147.50 : 10,902.25 = 10,902.25 : x
2. Step 2: Convert to fraction form
   5,147.50/10,902.25 = 10,902.25/x
3. Step 3: Cross multiply
   5,147.50x = 10,902.25 × 10,902.25
4. Step 4: Simplify right side
   5,147.50x = 118,859,055.06
5. Step 5: Solve for x
   x = 118,859,055.06/5,147.50
6. Step 6: Final answer
   x = 23,090.64