Finding the Third Proportional to 1,888.88 and 4,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,888.88 : 4,142.50 = 4,142.50 : x
2. Step 2: Convert to fraction form
   1,888.88/4,142.50 = 4,142.50/x
3. Step 3: Cross multiply
   1,888.88x = 4,142.50 × 4,142.50
4. Step 4: Simplify right side
   1,888.88x = 17,160,306.25
5. Step 5: Solve for x
   x = 17,160,306.25/1,888.88
6. Step 6: Final answer
   x = 9,084.93