Finding the Third Proportional to 51,820 and 65,736

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820 : 65,736 = 65,736 : x
2. Step 2: Convert to fraction form
   51,820/65,736 = 65,736/x
3. Step 3: Cross multiply
   51,820x = 65,736 × 65,736
4. Step 4: Simplify right side
   51,820x = 4,321,221,696
5. Step 5: Solve for x
   x = 4,321,221,696/51,820
6. Step 6: Final answer
   x = 83,389.07