Finding the Third Proportional to 40,875 and 64,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,875 : 64,228.50 = 64,228.50 : x
2. Step 2: Convert to fraction form
   40,875/64,228.50 = 64,228.50/x
3. Step 3: Cross multiply
   40,875x = 64,228.50 × 64,228.50
4. Step 4: Simplify right side
   40,875x = 4,125,300,212.25
5. Step 5: Solve for x
   x = 4,125,300,212.25/40,875
6. Step 6: Final answer
   x = 100,924.78