Finding the Third Proportional to 1,111.50 and 2,261

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.50 : 2,261 = 2,261 : x
2. Step 2: Convert to fraction form
   1,111.50/2,261 = 2,261/x
3. Step 3: Cross multiply
   1,111.50x = 2,261 × 2,261
4. Step 4: Simplify right side
   1,111.50x = 5,112,121
5. Step 5: Solve for x
   x = 5,112,121/1,111.50
6. Step 6: Final answer
   x = 4,599.30