Finding the Third Proportional to 36,833 and 56,321

Step by Step Solution

1. Step 1: Write the proportion equation
   36,833 : 56,321 = 56,321 : x
2. Step 2: Convert to fraction form
   36,833/56,321 = 56,321/x
3. Step 3: Cross multiply
   36,833x = 56,321 × 56,321
4. Step 4: Simplify right side
   36,833x = 3,172,055,041
5. Step 5: Solve for x
   x = 3,172,055,041/36,833
6. Step 6: Final answer
   x = 86,119.92