Finding the Third Proportional to 13,506.50 and 21,370

Step by Step Solution

1. Step 1: Write the proportion equation
   13,506.50 : 21,370 = 21,370 : x
2. Step 2: Convert to fraction form
   13,506.50/21,370 = 21,370/x
3. Step 3: Cross multiply
   13,506.50x = 21,370 × 21,370
4. Step 4: Simplify right side
   13,506.50x = 456,676,900
5. Step 5: Solve for x
   x = 456,676,900/13,506.50
6. Step 6: Final answer
   x = 33,811.64