Finding the Third Proportional to 6,781.50 and 12,712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,781.50 : 12,712.50 = 12,712.50 : x
2. Step 2: Convert to fraction form
   6,781.50/12,712.50 = 12,712.50/x
3. Step 3: Cross multiply
   6,781.50x = 12,712.50 × 12,712.50
4. Step 4: Simplify right side
   6,781.50x = 161,607,656.25
5. Step 5: Solve for x
   x = 161,607,656.25/6,781.50
6. Step 6: Final answer
   x = 23,830.67