Finding the Third Proportional to 37,799.81 and 81,203.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,799.81 : 81,203.06 = 81,203.06 : x
2. Step 2: Convert to fraction form
   37,799.81/81,203.06 = 81,203.06/x
3. Step 3: Cross multiply
   37,799.81x = 81,203.06 × 81,203.06
4. Step 4: Simplify right side
   37,799.81x = 6,593,937,359.38
5. Step 5: Solve for x
   x = 6,593,937,359.38/37,799.81
6. Step 6: Final answer
   x = 174,443.65