Finding the Third Proportional to 52,883 and 82,010

Step by Step Solution

1. Step 1: Write the proportion equation
   52,883 : 82,010 = 82,010 : x
2. Step 2: Convert to fraction form
   52,883/82,010 = 82,010/x
3. Step 3: Cross multiply
   52,883x = 82,010 × 82,010
4. Step 4: Simplify right side
   52,883x = 6,725,640,100
5. Step 5: Solve for x
   x = 6,725,640,100/52,883
6. Step 6: Final answer
   x = 127,179.62