Finding the Third Proportional to 12,822 and 31,033

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822 : 31,033 = 31,033 : x
2. Step 2: Convert to fraction form
   12,822/31,033 = 31,033/x
3. Step 3: Cross multiply
   12,822x = 31,033 × 31,033
4. Step 4: Simplify right side
   12,822x = 963,047,089
5. Step 5: Solve for x
   x = 963,047,089/12,822
6. Step 6: Final answer
   x = 75,108.96