Finding the Third Proportional to 31,726 and 69,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,726 : 69,682.50 = 69,682.50 : x
2. Step 2: Convert to fraction form
   31,726/69,682.50 = 69,682.50/x
3. Step 3: Cross multiply
   31,726x = 69,682.50 × 69,682.50
4. Step 4: Simplify right side
   31,726x = 4,855,650,806.25
5. Step 5: Solve for x
   x = 4,855,650,806.25/31,726
6. Step 6: Final answer
   x = 153,049.57