Finding the Third Proportional to 1,991.25 and 5,200.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,991.25 : 5,200.88 = 5,200.88 : x
2. Step 2: Convert to fraction form
   1,991.25/5,200.88 = 5,200.88/x
3. Step 3: Cross multiply
   1,991.25x = 5,200.88 × 5,200.88
4. Step 4: Simplify right side
   1,991.25x = 27,049,100.77
5. Step 5: Solve for x
   x = 27,049,100.77/1,991.25
6. Step 6: Final answer
   x = 13,583.98