Finding the Third Proportional to 37,072 and 82,434

Step by Step Solution

1. Step 1: Write the proportion equation
   37,072 : 82,434 = 82,434 : x
2. Step 2: Convert to fraction form
   37,072/82,434 = 82,434/x
3. Step 3: Cross multiply
   37,072x = 82,434 × 82,434
4. Step 4: Simplify right side
   37,072x = 6,795,364,356
5. Step 5: Solve for x
   x = 6,795,364,356/37,072
6. Step 6: Final answer
   x = 183,301.80