Finding the Third Proportional to 1,117.90 and 2,427.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.90 : 2,427.86 = 2,427.86 : x
2. Step 2: Convert to fraction form
   1,117.90/2,427.86 = 2,427.86/x
3. Step 3: Cross multiply
   1,117.90x = 2,427.86 × 2,427.86
4. Step 4: Simplify right side
   1,117.90x = 5,894,482.18
5. Step 5: Solve for x
   x = 5,894,482.18/1,117.90
6. Step 6: Final answer
   x = 5,272.82