Finding the Third Proportional to 49,023 and 75,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,023 : 75,736.50 = 75,736.50 : x
2. Step 2: Convert to fraction form
   49,023/75,736.50 = 75,736.50/x
3. Step 3: Cross multiply
   49,023x = 75,736.50 × 75,736.50
4. Step 4: Simplify right side
   49,023x = 5,736,017,432.25
5. Step 5: Solve for x
   x = 5,736,017,432.25/49,023
6. Step 6: Final answer
   x = 117,006.66