Finding the Third Proportional to 37,901.44 and 82,527.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,901.44 : 82,527.56 = 82,527.56 : x
2. Step 2: Convert to fraction form
   37,901.44/82,527.56 = 82,527.56/x
3. Step 3: Cross multiply
   37,901.44x = 82,527.56 × 82,527.56
4. Step 4: Simplify right side
   37,901.44x = 6,810,798,572.19
5. Step 5: Solve for x
   x = 6,810,798,572.19/37,901.44
6. Step 6: Final answer
   x = 179,697.63