Finding the Third Proportional to 6,532 and 13,412

Step by Step Solution

1. Step 1: Write the proportion equation
   6,532 : 13,412 = 13,412 : x
2. Step 2: Convert to fraction form
   6,532/13,412 = 13,412/x
3. Step 3: Cross multiply
   6,532x = 13,412 × 13,412
4. Step 4: Simplify right side
   6,532x = 179,881,744
5. Step 5: Solve for x
   x = 179,881,744/6,532
6. Step 6: Final answer
   x = 27,538.54