Finding the Third Proportional to 19,845 and 40,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,845 : 40,531.50 = 40,531.50 : x
2. Step 2: Convert to fraction form
   19,845/40,531.50 = 40,531.50/x
3. Step 3: Cross multiply
   19,845x = 40,531.50 × 40,531.50
4. Step 4: Simplify right side
   19,845x = 1,642,802,492.25
5. Step 5: Solve for x
   x = 1,642,802,492.25/19,845
6. Step 6: Final answer
   x = 82,781.68