Finding the Third Proportional to 10,374.75 and 16,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.75 : 16,090.50 = 16,090.50 : x
2. Step 2: Convert to fraction form
   10,374.75/16,090.50 = 16,090.50/x
3. Step 3: Cross multiply
   10,374.75x = 16,090.50 × 16,090.50
4. Step 4: Simplify right side
   10,374.75x = 258,904,190.25
5. Step 5: Solve for x
   x = 258,904,190.25/10,374.75
6. Step 6: Final answer
   x = 24,955.22