Finding the Third Proportional to 41,953.50 and 81,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,953.50 : 81,781.50 = 81,781.50 : x
2. Step 2: Convert to fraction form
   41,953.50/81,781.50 = 81,781.50/x
3. Step 3: Cross multiply
   41,953.50x = 81,781.50 × 81,781.50
4. Step 4: Simplify right side
   41,953.50x = 6,688,213,742.25
5. Step 5: Solve for x
   x = 6,688,213,742.25/41,953.50
6. Step 6: Final answer
   x = 159,419.68