Finding the Third Proportional to 55,492 and 85,826

Step by Step Solution

1. Step 1: Write the proportion equation
   55,492 : 85,826 = 85,826 : x
2. Step 2: Convert to fraction form
   55,492/85,826 = 85,826/x
3. Step 3: Cross multiply
   55,492x = 85,826 × 85,826
4. Step 4: Simplify right side
   55,492x = 7,366,102,276
5. Step 5: Solve for x
   x = 7,366,102,276/55,492
6. Step 6: Final answer
   x = 132,741.70