Finding the Third Proportional to 37,383.25 and 81,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,383.25 : 81,732.50 = 81,732.50 : x
2. Step 2: Convert to fraction form
   37,383.25/81,732.50 = 81,732.50/x
3. Step 3: Cross multiply
   37,383.25x = 81,732.50 × 81,732.50
4. Step 4: Simplify right side
   37,383.25x = 6,680,201,556.25
5. Step 5: Solve for x
   x = 6,680,201,556.25/37,383.25
6. Step 6: Final answer
   x = 178,695.05