Finding the Third Proportional to 27,420 and 41,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,420 : 41,467.50 = 41,467.50 : x
2. Step 2: Convert to fraction form
   27,420/41,467.50 = 41,467.50/x
3. Step 3: Cross multiply
   27,420x = 41,467.50 × 41,467.50
4. Step 4: Simplify right side
   27,420x = 1,719,553,556.25
5. Step 5: Solve for x
   x = 1,719,553,556.25/27,420
6. Step 6: Final answer
   x = 62,711.65