Finding the Third Proportional to 37,253 and 81,055

Step by Step Solution

1. Step 1: Write the proportion equation
   37,253 : 81,055 = 81,055 : x
2. Step 2: Convert to fraction form
   37,253/81,055 = 81,055/x
3. Step 3: Cross multiply
   37,253x = 81,055 × 81,055
4. Step 4: Simplify right side
   37,253x = 6,569,913,025
5. Step 5: Solve for x
   x = 6,569,913,025/37,253
6. Step 6: Final answer
   x = 176,359.30