Finding the Third Proportional to 25,674 and 53,070

Step by Step Solution

1. Step 1: Write the proportion equation
   25,674 : 53,070 = 53,070 : x
2. Step 2: Convert to fraction form
   25,674/53,070 = 53,070/x
3. Step 3: Cross multiply
   25,674x = 53,070 × 53,070
4. Step 4: Simplify right side
   25,674x = 2,816,424,900
5. Step 5: Solve for x
   x = 2,816,424,900/25,674
6. Step 6: Final answer
   x = 109,699.50