Finding the Third Proportional to 49,506 and 76,605

Step by Step Solution

1. Step 1: Write the proportion equation
   49,506 : 76,605 = 76,605 : x
2. Step 2: Convert to fraction form
   49,506/76,605 = 76,605/x
3. Step 3: Cross multiply
   49,506x = 76,605 × 76,605
4. Step 4: Simplify right side
   49,506x = 5,868,326,025
5. Step 5: Solve for x
   x = 5,868,326,025/49,506
6. Step 6: Final answer
   x = 118,537.67