Finding the Third Proportional to 31,222.50 and 76,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,222.50 : 76,093.50 = 76,093.50 : x
2. Step 2: Convert to fraction form
   31,222.50/76,093.50 = 76,093.50/x
3. Step 3: Cross multiply
   31,222.50x = 76,093.50 × 76,093.50
4. Step 4: Simplify right side
   31,222.50x = 5,790,220,742.25
5. Step 5: Solve for x
   x = 5,790,220,742.25/31,222.50
6. Step 6: Final answer
   x = 185,450.26