Finding the Third Proportional to 31,806 and 68,573.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 68,573.25 = 68,573.25 : x
2. Step 2: Convert to fraction form
   31,806/68,573.25 = 68,573.25/x
3. Step 3: Cross multiply
   31,806x = 68,573.25 × 68,573.25
4. Step 4: Simplify right side
   31,806x = 4,702,290,615.56
5. Step 5: Solve for x
   x = 4,702,290,615.56/31,806
6. Step 6: Final answer
   x = 147,842.88