Finding the Third Proportional to 37,971 and 83,255

Step by Step Solution

1. Step 1: Write the proportion equation
   37,971 : 83,255 = 83,255 : x
2. Step 2: Convert to fraction form
   37,971/83,255 = 83,255/x
3. Step 3: Cross multiply
   37,971x = 83,255 × 83,255
4. Step 4: Simplify right side
   37,971x = 6,931,395,025
5. Step 5: Solve for x
   x = 6,931,395,025/37,971
6. Step 6: Final answer
   x = 182,544.44