Finding the Third Proportional to 25,984 and 55,829

Step by Step Solution

1. Step 1: Write the proportion equation
   25,984 : 55,829 = 55,829 : x
2. Step 2: Convert to fraction form
   25,984/55,829 = 55,829/x
3. Step 3: Cross multiply
   25,984x = 55,829 × 55,829
4. Step 4: Simplify right side
   25,984x = 3,116,877,241
5. Step 5: Solve for x
   x = 3,116,877,241/25,984
6. Step 6: Final answer
   x = 119,953.71