Finding the Third Proportional to 4,684.50 and 12,188.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684.50 : 12,188.25 = 12,188.25 : x
2. Step 2: Convert to fraction form
   4,684.50/12,188.25 = 12,188.25/x
3. Step 3: Cross multiply
   4,684.50x = 12,188.25 × 12,188.25
4. Step 4: Simplify right side
   4,684.50x = 148,553,438.06
5. Step 5: Solve for x
   x = 148,553,438.06/4,684.50
6. Step 6: Final answer
   x = 31,711.70