Finding the Third Proportional to 10,034.50 and 13,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.50 : 13,407.50 = 13,407.50 : x
2. Step 2: Convert to fraction form
   10,034.50/13,407.50 = 13,407.50/x
3. Step 3: Cross multiply
   10,034.50x = 13,407.50 × 13,407.50
4. Step 4: Simplify right side
   10,034.50x = 179,761,056.25
5. Step 5: Solve for x
   x = 179,761,056.25/10,034.50
6. Step 6: Final answer
   x = 17,914.30