Finding the Third Proportional to 37,465 and 82,085

Step by Step Solution

1. Step 1: Write the proportion equation
   37,465 : 82,085 = 82,085 : x
2. Step 2: Convert to fraction form
   37,465/82,085 = 82,085/x
3. Step 3: Cross multiply
   37,465x = 82,085 × 82,085
4. Step 4: Simplify right side
   37,465x = 6,737,947,225
5. Step 5: Solve for x
   x = 6,737,947,225/37,465
6. Step 6: Final answer
   x = 179,846.45