Finding the Third Proportional to 25,999.31 and 37,153.27

Step by Step Solution

1. Step 1: Write the proportion equation
   25,999.31 : 37,153.27 = 37,153.27 : x
2. Step 2: Convert to fraction form
   25,999.31/37,153.27 = 37,153.27/x
3. Step 3: Cross multiply
   25,999.31x = 37,153.27 × 37,153.27
4. Step 4: Simplify right side
   25,999.31x = 1,380,365,146.60
5. Step 5: Solve for x
   x = 1,380,365,146.60/25,999.31
6. Step 6: Final answer
   x = 53,092.37