Finding the Third Proportional to 1,068.50 and 2,536.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.50 : 2,536.25 = 2,536.25 : x
2. Step 2: Convert to fraction form
   1,068.50/2,536.25 = 2,536.25/x
3. Step 3: Cross multiply
   1,068.50x = 2,536.25 × 2,536.25
4. Step 4: Simplify right side
   1,068.50x = 6,432,564.06
5. Step 5: Solve for x
   x = 6,432,564.06/1,068.50
6. Step 6: Final answer
   x = 6,020.18