Finding the Third Proportional to 10,614 and 18,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614 : 18,673.50 = 18,673.50 : x
2. Step 2: Convert to fraction form
   10,614/18,673.50 = 18,673.50/x
3. Step 3: Cross multiply
   10,614x = 18,673.50 × 18,673.50
4. Step 4: Simplify right side
   10,614x = 348,699,602.25
5. Step 5: Solve for x
   x = 348,699,602.25/10,614
6. Step 6: Final answer
   x = 32,852.80