Finding the Third Proportional to 32,679 and 41,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,679 : 41,377.50 = 41,377.50 : x
2. Step 2: Convert to fraction form
   32,679/41,377.50 = 41,377.50/x
3. Step 3: Cross multiply
   32,679x = 41,377.50 × 41,377.50
4. Step 4: Simplify right side
   32,679x = 1,712,097,506.25
5. Step 5: Solve for x
   x = 1,712,097,506.25/32,679
6. Step 6: Final answer
   x = 52,391.37