Finding the Third Proportional to 5,902.50 and 12,878.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,902.50 : 12,878.25 = 12,878.25 : x
2. Step 2: Convert to fraction form
   5,902.50/12,878.25 = 12,878.25/x
3. Step 3: Cross multiply
   5,902.50x = 12,878.25 × 12,878.25
4. Step 4: Simplify right side
   5,902.50x = 165,849,323.06
5. Step 5: Solve for x
   x = 165,849,323.06/5,902.50
6. Step 6: Final answer
   x = 28,098.15