Finding the Third Proportional to 40,213.50 and 52,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,213.50 : 52,880.50 = 52,880.50 : x
2. Step 2: Convert to fraction form
   40,213.50/52,880.50 = 52,880.50/x
3. Step 3: Cross multiply
   40,213.50x = 52,880.50 × 52,880.50
4. Step 4: Simplify right side
   40,213.50x = 2,796,347,280.25
5. Step 5: Solve for x
   x = 2,796,347,280.25/40,213.50
6. Step 6: Final answer
   x = 69,537.53