Finding the Third Proportional to 1,042.50 and 1,117

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.50 : 1,117 = 1,117 : x
2. Step 2: Convert to fraction form
   1,042.50/1,117 = 1,117/x
3. Step 3: Cross multiply
   1,042.50x = 1,117 × 1,117
4. Step 4: Simplify right side
   1,042.50x = 1,247,689
5. Step 5: Solve for x
   x = 1,247,689/1,042.50
6. Step 6: Final answer
   x = 1,196.82