Finding the Third Proportional to 49,843 and 74,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,843 : 74,044.50 = 74,044.50 : x
2. Step 2: Convert to fraction form
   49,843/74,044.50 = 74,044.50/x
3. Step 3: Cross multiply
   49,843x = 74,044.50 × 74,044.50
4. Step 4: Simplify right side
   49,843x = 5,482,587,980.25
5. Step 5: Solve for x
   x = 5,482,587,980.25/49,843
6. Step 6: Final answer
   x = 109,997.15