Finding the Third Proportional to 37,469.25 and 81,884.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,469.25 : 81,884.25 = 81,884.25 : x
2. Step 2: Convert to fraction form
   37,469.25/81,884.25 = 81,884.25/x
3. Step 3: Cross multiply
   37,469.25x = 81,884.25 × 81,884.25
4. Step 4: Simplify right side
   37,469.25x = 6,705,030,398.06
5. Step 5: Solve for x
   x = 6,705,030,398.06/37,469.25
6. Step 6: Final answer
   x = 178,947.55