Finding the Third Proportional to 34,254 and 53,010

Step by Step Solution

1. Step 1: Write the proportion equation
   34,254 : 53,010 = 53,010 : x
2. Step 2: Convert to fraction form
   34,254/53,010 = 53,010/x
3. Step 3: Cross multiply
   34,254x = 53,010 × 53,010
4. Step 4: Simplify right side
   34,254x = 2,810,060,100
5. Step 5: Solve for x
   x = 2,810,060,100/34,254
6. Step 6: Final answer
   x = 82,035.97