Finding the Third Proportional to 37,036 and 81,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,036 : 81,104.50 = 81,104.50 : x
2. Step 2: Convert to fraction form
   37,036/81,104.50 = 81,104.50/x
3. Step 3: Cross multiply
   37,036x = 81,104.50 × 81,104.50
4. Step 4: Simplify right side
   37,036x = 6,577,939,920.25
5. Step 5: Solve for x
   x = 6,577,939,920.25/37,036
6. Step 6: Final answer
   x = 177,609.35