Finding the Third Proportional to 1,884.50 and 5,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,884.50 : 5,095.50 = 5,095.50 : x
2. Step 2: Convert to fraction form
   1,884.50/5,095.50 = 5,095.50/x
3. Step 3: Cross multiply
   1,884.50x = 5,095.50 × 5,095.50
4. Step 4: Simplify right side
   1,884.50x = 25,964,120.25
5. Step 5: Solve for x
   x = 25,964,120.25/1,884.50
6. Step 6: Final answer
   x = 13,777.72