Finding the Third Proportional to 37,441.75 and 81,444.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,441.75 : 81,444.25 = 81,444.25 : x
2. Step 2: Convert to fraction form
   37,441.75/81,444.25 = 81,444.25/x
3. Step 3: Cross multiply
   37,441.75x = 81,444.25 × 81,444.25
4. Step 4: Simplify right side
   37,441.75x = 6,633,165,858.06
5. Step 5: Solve for x
   x = 6,633,165,858.06/37,441.75
6. Step 6: Final answer
   x = 177,159.61