Finding the Third Proportional to 2,372 and 5,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,372 : 5,094.50 = 5,094.50 : x
2. Step 2: Convert to fraction form
   2,372/5,094.50 = 5,094.50/x
3. Step 3: Cross multiply
   2,372x = 5,094.50 × 5,094.50
4. Step 4: Simplify right side
   2,372x = 25,953,930.25
5. Step 5: Solve for x
   x = 25,953,930.25/2,372
6. Step 6: Final answer
   x = 10,941.79