Finding the Third Proportional to 13,677.50 and 21,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,677.50 : 21,761.50 = 21,761.50 : x
2. Step 2: Convert to fraction form
   13,677.50/21,761.50 = 21,761.50/x
3. Step 3: Cross multiply
   13,677.50x = 21,761.50 × 21,761.50
4. Step 4: Simplify right side
   13,677.50x = 473,562,882.25
5. Step 5: Solve for x
   x = 473,562,882.25/13,677.50
6. Step 6: Final answer
   x = 34,623.50