Finding the Third Proportional to 25,840.13 and 38,962.69

Step by Step Solution

1. Step 1: Write the proportion equation
   25,840.13 : 38,962.69 = 38,962.69 : x
2. Step 2: Convert to fraction form
   25,840.13/38,962.69 = 38,962.69/x
3. Step 3: Cross multiply
   25,840.13x = 38,962.69 × 38,962.69
4. Step 4: Simplify right side
   25,840.13x = 1,518,091,017.22
5. Step 5: Solve for x
   x = 1,518,091,017.22/25,840.13
6. Step 6: Final answer
   x = 58,749.37