Finding the Third Proportional to 12,120 and 17,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,120 : 17,701.50 = 17,701.50 : x
2. Step 2: Convert to fraction form
   12,120/17,701.50 = 17,701.50/x
3. Step 3: Cross multiply
   12,120x = 17,701.50 × 17,701.50
4. Step 4: Simplify right side
   12,120x = 313,343,102.25
5. Step 5: Solve for x
   x = 313,343,102.25/12,120
6. Step 6: Final answer
   x = 25,853.39