Finding the Third Proportional to 25,537.50 and 36,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,537.50 : 36,301.50 = 36,301.50 : x
2. Step 2: Convert to fraction form
   25,537.50/36,301.50 = 36,301.50/x
3. Step 3: Cross multiply
   25,537.50x = 36,301.50 × 36,301.50
4. Step 4: Simplify right side
   25,537.50x = 1,317,798,902.25
5. Step 5: Solve for x
   x = 1,317,798,902.25/25,537.50
6. Step 6: Final answer
   x = 51,602.50