Finding the Third Proportional to 40,869 and 64,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,869 : 64,219.50 = 64,219.50 : x
2. Step 2: Convert to fraction form
   40,869/64,219.50 = 64,219.50/x
3. Step 3: Cross multiply
   40,869x = 64,219.50 × 64,219.50
4. Step 4: Simplify right side
   40,869x = 4,124,144,180.25
5. Step 5: Solve for x
   x = 4,124,144,180.25/40,869
6. Step 6: Final answer
   x = 100,911.31