Finding the Third Proportional to 37,138.50 and 81,050.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138.50 : 81,050.25 = 81,050.25 : x
2. Step 2: Convert to fraction form
   37,138.50/81,050.25 = 81,050.25/x
3. Step 3: Cross multiply
   37,138.50x = 81,050.25 × 81,050.25
4. Step 4: Simplify right side
   37,138.50x = 6,569,143,025.06
5. Step 5: Solve for x
   x = 6,569,143,025.06/37,138.50
6. Step 6: Final answer
   x = 176,882.29