Finding the Third Proportional to 49,139 and 75,536

Step by Step Solution

1. Step 1: Write the proportion equation
   49,139 : 75,536 = 75,536 : x
2. Step 2: Convert to fraction form
   49,139/75,536 = 75,536/x
3. Step 3: Cross multiply
   49,139x = 75,536 × 75,536
4. Step 4: Simplify right side
   49,139x = 5,705,687,296
5. Step 5: Solve for x
   x = 5,705,687,296/49,139
6. Step 6: Final answer
   x = 116,113.22