Finding the Third Proportional to 37,590 and 82,620

Step by Step Solution

1. Step 1: Write the proportion equation
   37,590 : 82,620 = 82,620 : x
2. Step 2: Convert to fraction form
   37,590/82,620 = 82,620/x
3. Step 3: Cross multiply
   37,590x = 82,620 × 82,620
4. Step 4: Simplify right side
   37,590x = 6,826,064,400
5. Step 5: Solve for x
   x = 6,826,064,400/37,590
6. Step 6: Final answer
   x = 181,592.56