Finding the Third Proportional to 37,016 and 81,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,016 : 81,233.50 = 81,233.50 : x
2. Step 2: Convert to fraction form
   37,016/81,233.50 = 81,233.50/x
3. Step 3: Cross multiply
   37,016x = 81,233.50 × 81,233.50
4. Step 4: Simplify right side
   37,016x = 6,598,881,522.25
5. Step 5: Solve for x
   x = 6,598,881,522.25/37,016
6. Step 6: Final answer
   x = 178,271.06