Finding the Third Proportional to 49,867.50 and 76,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,867.50 : 76,645.50 = 76,645.50 : x
2. Step 2: Convert to fraction form
   49,867.50/76,645.50 = 76,645.50/x
3. Step 3: Cross multiply
   49,867.50x = 76,645.50 × 76,645.50
4. Step 4: Simplify right side
   49,867.50x = 5,874,532,670.25
5. Step 5: Solve for x
   x = 5,874,532,670.25/49,867.50
6. Step 6: Final answer
   x = 117,802.83