Finding the Third Proportional to 10,095 and 13,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,095 : 13,342.50 = 13,342.50 : x
2. Step 2: Convert to fraction form
   10,095/13,342.50 = 13,342.50/x
3. Step 3: Cross multiply
   10,095x = 13,342.50 × 13,342.50
4. Step 4: Simplify right side
   10,095x = 178,022,306.25
5. Step 5: Solve for x
   x = 178,022,306.25/10,095
6. Step 6: Final answer
   x = 17,634.70