Finding the Third Proportional to 17,533.25 and 37,740.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,533.25 : 37,740.25 = 37,740.25 : x
2. Step 2: Convert to fraction form
   17,533.25/37,740.25 = 37,740.25/x
3. Step 3: Cross multiply
   17,533.25x = 37,740.25 × 37,740.25
4. Step 4: Simplify right side
   17,533.25x = 1,424,326,470.06
5. Step 5: Solve for x
   x = 1,424,326,470.06/17,533.25
6. Step 6: Final answer
   x = 81,235.74