Finding the Third Proportional to 49,965 and 74,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,965 : 74,185.50 = 74,185.50 : x
2. Step 2: Convert to fraction form
   49,965/74,185.50 = 74,185.50/x
3. Step 3: Cross multiply
   49,965x = 74,185.50 × 74,185.50
4. Step 4: Simplify right side
   49,965x = 5,503,488,410.25
5. Step 5: Solve for x
   x = 5,503,488,410.25/49,965
6. Step 6: Final answer
   x = 110,146.87