Finding the Third Proportional to 25,913 and 53,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,913 : 53,461.50 = 53,461.50 : x
2. Step 2: Convert to fraction form
   25,913/53,461.50 = 53,461.50/x
3. Step 3: Cross multiply
   25,913x = 53,461.50 × 53,461.50
4. Step 4: Simplify right side
   25,913x = 2,858,131,982.25
5. Step 5: Solve for x
   x = 2,858,131,982.25/25,913
6. Step 6: Final answer
   x = 110,297.22