Finding the Third Proportional to 40,842 and 55,429

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 55,429 = 55,429 : x
2. Step 2: Convert to fraction form
   40,842/55,429 = 55,429/x
3. Step 3: Cross multiply
   40,842x = 55,429 × 55,429
4. Step 4: Simplify right side
   40,842x = 3,072,374,041
5. Step 5: Solve for x
   x = 3,072,374,041/40,842
6. Step 6: Final answer
   x = 75,225.85