Finding the Third Proportional to 49,158 and 75,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,158 : 75,169.50 = 75,169.50 : x
2. Step 2: Convert to fraction form
   49,158/75,169.50 = 75,169.50/x
3. Step 3: Cross multiply
   49,158x = 75,169.50 × 75,169.50
4. Step 4: Simplify right side
   49,158x = 5,650,453,730.25
5. Step 5: Solve for x
   x = 5,650,453,730.25/49,158
6. Step 6: Final answer
   x = 114,944.74