Finding the Third Proportional to 1,211.63 and 2,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,211.63 : 2,653.50 = 2,653.50 : x
2. Step 2: Convert to fraction form
   1,211.63/2,653.50 = 2,653.50/x
3. Step 3: Cross multiply
   1,211.63x = 2,653.50 × 2,653.50
4. Step 4: Simplify right side
   1,211.63x = 7,041,062.25
5. Step 5: Solve for x
   x = 7,041,062.25/1,211.63
6. Step 6: Final answer
   x = 5,811.26