Finding the Third Proportional to 10,042.50 and 13,416.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.50 : 13,416.75 = 13,416.75 : x
2. Step 2: Convert to fraction form
   10,042.50/13,416.75 = 13,416.75/x
3. Step 3: Cross multiply
   10,042.50x = 13,416.75 × 13,416.75
4. Step 4: Simplify right side
   10,042.50x = 180,009,180.56
5. Step 5: Solve for x
   x = 180,009,180.56/10,042.50
6. Step 6: Final answer
   x = 17,924.74