Finding the Third Proportional to 30,307.50 and 34,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,307.50 : 34,681.50 = 34,681.50 : x
2. Step 2: Convert to fraction form
   30,307.50/34,681.50 = 34,681.50/x
3. Step 3: Cross multiply
   30,307.50x = 34,681.50 × 34,681.50
4. Step 4: Simplify right side
   30,307.50x = 1,202,806,442.25
5. Step 5: Solve for x
   x = 1,202,806,442.25/30,307.50
6. Step 6: Final answer
   x = 39,686.76