Finding the Third Proportional to 27,417 and 37,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,417 : 37,153.50 = 37,153.50 : x
2. Step 2: Convert to fraction form
   27,417/37,153.50 = 37,153.50/x
3. Step 3: Cross multiply
   27,417x = 37,153.50 × 37,153.50
4. Step 4: Simplify right side
   27,417x = 1,380,382,562.25
5. Step 5: Solve for x
   x = 1,380,382,562.25/27,417
6. Step 6: Final answer
   x = 50,347.69