Finding the Third Proportional to 37,503 and 82,011.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,503 : 82,011.38 = 82,011.38 : x
2. Step 2: Convert to fraction form
   37,503/82,011.38 = 82,011.38/x
3. Step 3: Cross multiply
   37,503x = 82,011.38 × 82,011.38
4. Step 4: Simplify right side
   37,503x = 6,725,865,629.39
5. Step 5: Solve for x
   x = 6,725,865,629.39/37,503
6. Step 6: Final answer
   x = 179,342.07