Finding the Third Proportional to 37,807 and 82,985

Step by Step Solution

1. Step 1: Write the proportion equation
   37,807 : 82,985 = 82,985 : x
2. Step 2: Convert to fraction form
   37,807/82,985 = 82,985/x
3. Step 3: Cross multiply
   37,807x = 82,985 × 82,985
4. Step 4: Simplify right side
   37,807x = 6,886,510,225
5. Step 5: Solve for x
   x = 6,886,510,225/37,807
6. Step 6: Final answer
   x = 182,149.08