Finding the Third Proportional to 25,984 and 62,826

Step by Step Solution

1. Step 1: Write the proportion equation
   25,984 : 62,826 = 62,826 : x
2. Step 2: Convert to fraction form
   25,984/62,826 = 62,826/x
3. Step 3: Cross multiply
   25,984x = 62,826 × 62,826
4. Step 4: Simplify right side
   25,984x = 3,947,106,276
5. Step 5: Solve for x
   x = 3,947,106,276/25,984
6. Step 6: Final answer
   x = 151,905.26