Finding the Third Proportional to 31,765.50 and 34,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,765.50 : 34,681.50 = 34,681.50 : x
2. Step 2: Convert to fraction form
   31,765.50/34,681.50 = 34,681.50/x
3. Step 3: Cross multiply
   31,765.50x = 34,681.50 × 34,681.50
4. Step 4: Simplify right side
   31,765.50x = 1,202,806,442.25
5. Step 5: Solve for x
   x = 1,202,806,442.25/31,765.50
6. Step 6: Final answer
   x = 37,865.18