Finding the Third Proportional to 2,375.30 and 5,156.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375.30 : 5,156.02 = 5,156.02 : x
2. Step 2: Convert to fraction form
   2,375.30/5,156.02 = 5,156.02/x
3. Step 3: Cross multiply
   2,375.30x = 5,156.02 × 5,156.02
4. Step 4: Simplify right side
   2,375.30x = 26,584,497.13
5. Step 5: Solve for x
   x = 26,584,497.13/2,375.30
6. Step 6: Final answer
   x = 11,192.07