Finding the Third Proportional to 5,920 and 12,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,920 : 12,852.50 = 12,852.50 : x
2. Step 2: Convert to fraction form
   5,920/12,852.50 = 12,852.50/x
3. Step 3: Cross multiply
   5,920x = 12,852.50 × 12,852.50
4. Step 4: Simplify right side
   5,920x = 165,186,756.25
5. Step 5: Solve for x
   x = 165,186,756.25/5,920
6. Step 6: Final answer
   x = 27,903.17