Finding the Third Proportional to 37,594 and 82,630

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594 : 82,630 = 82,630 : x
2. Step 2: Convert to fraction form
   37,594/82,630 = 82,630/x
3. Step 3: Cross multiply
   37,594x = 82,630 × 82,630
4. Step 4: Simplify right side
   37,594x = 6,827,716,900
5. Step 5: Solve for x
   x = 6,827,716,900/37,594
6. Step 6: Final answer
   x = 181,617.20