Finding the Third Proportional to 31,826.25 and 66,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826.25 : 66,811.50 = 66,811.50 : x
2. Step 2: Convert to fraction form
   31,826.25/66,811.50 = 66,811.50/x
3. Step 3: Cross multiply
   31,826.25x = 66,811.50 × 66,811.50
4. Step 4: Simplify right side
   31,826.25x = 4,463,776,532.25
5. Step 5: Solve for x
   x = 4,463,776,532.25/31,826.25
6. Step 6: Final answer
   x = 140,254.56