Finding the Third Proportional to 34,074 and 53,180

Step by Step Solution

1. Step 1: Write the proportion equation
   34,074 : 53,180 = 53,180 : x
2. Step 2: Convert to fraction form
   34,074/53,180 = 53,180/x
3. Step 3: Cross multiply
   34,074x = 53,180 × 53,180
4. Step 4: Simplify right side
   34,074x = 2,828,112,400
5. Step 5: Solve for x
   x = 2,828,112,400/34,074
6. Step 6: Final answer
   x = 82,999.13