Finding the Third Proportional to 39,474 and 85,637.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,474 : 85,637.25 = 85,637.25 : x
2. Step 2: Convert to fraction form
   39,474/85,637.25 = 85,637.25/x
3. Step 3: Cross multiply
   39,474x = 85,637.25 × 85,637.25
4. Step 4: Simplify right side
   39,474x = 7,333,738,587.56
5. Step 5: Solve for x
   x = 7,333,738,587.56/39,474
6. Step 6: Final answer
   x = 185,786.56