Finding the Third Proportional to 49,166 and 74,165

Step by Step Solution

1. Step 1: Write the proportion equation
   49,166 : 74,165 = 74,165 : x
2. Step 2: Convert to fraction form
   49,166/74,165 = 74,165/x
3. Step 3: Cross multiply
   49,166x = 74,165 × 74,165
4. Step 4: Simplify right side
   49,166x = 5,500,447,225
5. Step 5: Solve for x
   x = 5,500,447,225/49,166
6. Step 6: Final answer
   x = 111,875.02