Finding the Third Proportional to 35,261 and 54,010

Step by Step Solution

1. Step 1: Write the proportion equation
   35,261 : 54,010 = 54,010 : x
2. Step 2: Convert to fraction form
   35,261/54,010 = 54,010/x
3. Step 3: Cross multiply
   35,261x = 54,010 × 54,010
4. Step 4: Simplify right side
   35,261x = 2,917,080,100
5. Step 5: Solve for x
   x = 2,917,080,100/35,261
6. Step 6: Final answer
   x = 82,728.23