Finding the Third Proportional to 10,170 and 13,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,170 : 13,498.50 = 13,498.50 : x
2. Step 2: Convert to fraction form
   10,170/13,498.50 = 13,498.50/x
3. Step 3: Cross multiply
   10,170x = 13,498.50 × 13,498.50
4. Step 4: Simplify right side
   10,170x = 182,209,502.25
5. Step 5: Solve for x
   x = 182,209,502.25/10,170
6. Step 6: Final answer
   x = 17,916.37