Finding the Third Proportional to 6,196.50 and 13,532.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.50 : 13,532.06 = 13,532.06 : x
2. Step 2: Convert to fraction form
   6,196.50/13,532.06 = 13,532.06/x
3. Step 3: Cross multiply
   6,196.50x = 13,532.06 × 13,532.06
4. Step 4: Simplify right side
   6,196.50x = 183,116,715.50
5. Step 5: Solve for x
   x = 183,116,715.50/6,196.50
6. Step 6: Final answer
   x = 29,551.64