Finding the Third Proportional to 13,837.50 and 30,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.50 : 30,766.50 = 30,766.50 : x
2. Step 2: Convert to fraction form
   13,837.50/30,766.50 = 30,766.50/x
3. Step 3: Cross multiply
   13,837.50x = 30,766.50 × 30,766.50
4. Step 4: Simplify right side
   13,837.50x = 946,577,522.25
5. Step 5: Solve for x
   x = 946,577,522.25/13,837.50
6. Step 6: Final answer
   x = 68,406.69