Finding the Third Proportional to 37,971 and 83,254

Step by Step Solution

1. Step 1: Write the proportion equation
   37,971 : 83,254 = 83,254 : x
2. Step 2: Convert to fraction form
   37,971/83,254 = 83,254/x
3. Step 3: Cross multiply
   37,971x = 83,254 × 83,254
4. Step 4: Simplify right side
   37,971x = 6,931,228,516
5. Step 5: Solve for x
   x = 6,931,228,516/37,971
6. Step 6: Final answer
   x = 182,540.06