Finding the Third Proportional to 49,386 and 72,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,386 : 72,229.50 = 72,229.50 : x
2. Step 2: Convert to fraction form
   49,386/72,229.50 = 72,229.50/x
3. Step 3: Cross multiply
   49,386x = 72,229.50 × 72,229.50
4. Step 4: Simplify right side
   49,386x = 5,217,100,670.25
5. Step 5: Solve for x
   x = 5,217,100,670.25/49,386
6. Step 6: Final answer
   x = 105,639.26