Finding the Third Proportional to 13,740 and 26,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,740 : 26,385.50 = 26,385.50 : x
2. Step 2: Convert to fraction form
   13,740/26,385.50 = 26,385.50/x
3. Step 3: Cross multiply
   13,740x = 26,385.50 × 26,385.50
4. Step 4: Simplify right side
   13,740x = 696,194,610.25
5. Step 5: Solve for x
   x = 696,194,610.25/13,740
6. Step 6: Final answer
   x = 50,669.19