Finding the Third Proportional to 13,543 and 21,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,543 : 21,626.50 = 21,626.50 : x
2. Step 2: Convert to fraction form
   13,543/21,626.50 = 21,626.50/x
3. Step 3: Cross multiply
   13,543x = 21,626.50 × 21,626.50
4. Step 4: Simplify right side
   13,543x = 467,705,502.25
5. Step 5: Solve for x
   x = 467,705,502.25/13,543
6. Step 6: Final answer
   x = 34,534.85