Finding the Third Proportional to 13,790 and 29,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,790 : 29,766.50 = 29,766.50 : x
2. Step 2: Convert to fraction form
   13,790/29,766.50 = 29,766.50/x
3. Step 3: Cross multiply
   13,790x = 29,766.50 × 29,766.50
4. Step 4: Simplify right side
   13,790x = 886,044,522.25
5. Step 5: Solve for x
   x = 886,044,522.25/13,790
6. Step 6: Final answer
   x = 64,252.68