Finding the Third Proportional to 5,526 and 13,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,526 : 13,381.50 = 13,381.50 : x
2. Step 2: Convert to fraction form
   5,526/13,381.50 = 13,381.50/x
3. Step 3: Cross multiply
   5,526x = 13,381.50 × 13,381.50
4. Step 4: Simplify right side
   5,526x = 179,064,542.25
5. Step 5: Solve for x
   x = 179,064,542.25/5,526
6. Step 6: Final answer
   x = 32,404.01