Finding the Third Proportional to 37,038.94 and 82,085.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,038.94 : 82,085.63 = 82,085.63 : x
2. Step 2: Convert to fraction form
   37,038.94/82,085.63 = 82,085.63/x
3. Step 3: Cross multiply
   37,038.94x = 82,085.63 × 82,085.63
4. Step 4: Simplify right side
   37,038.94x = 6,738,049,831.64
5. Step 5: Solve for x
   x = 6,738,049,831.64/37,038.94
6. Step 6: Final answer
   x = 181,918.01