Finding the Third Proportional to 1,191 and 1,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191 : 1,597.50 = 1,597.50 : x
2. Step 2: Convert to fraction form
   1,191/1,597.50 = 1,597.50/x
3. Step 3: Cross multiply
   1,191x = 1,597.50 × 1,597.50
4. Step 4: Simplify right side
   1,191x = 2,552,006.25
5. Step 5: Solve for x
   x = 2,552,006.25/1,191
6. Step 6: Final answer
   x = 2,142.74