Finding the Third Proportional to 25,897.50 and 53,640

Step by Step Solution

1. Step 1: Write the proportion equation
   25,897.50 : 53,640 = 53,640 : x
2. Step 2: Convert to fraction form
   25,897.50/53,640 = 53,640/x
3. Step 3: Cross multiply
   25,897.50x = 53,640 × 53,640
4. Step 4: Simplify right side
   25,897.50x = 2,877,249,600
5. Step 5: Solve for x
   x = 2,877,249,600/25,897.50
6. Step 6: Final answer
   x = 111,101.44