Finding the Third Proportional to 49,522 and 76,749

Step by Step Solution

1. Step 1: Write the proportion equation
   49,522 : 76,749 = 76,749 : x
2. Step 2: Convert to fraction form
   49,522/76,749 = 76,749/x
3. Step 3: Cross multiply
   49,522x = 76,749 × 76,749
4. Step 4: Simplify right side
   49,522x = 5,890,409,001
5. Step 5: Solve for x
   x = 5,890,409,001/49,522
6. Step 6: Final answer
   x = 118,945.30