Finding the Third Proportional to 36,862 and 55,326

Step by Step Solution

1. Step 1: Write the proportion equation
   36,862 : 55,326 = 55,326 : x
2. Step 2: Convert to fraction form
   36,862/55,326 = 55,326/x
3. Step 3: Cross multiply
   36,862x = 55,326 × 55,326
4. Step 4: Simplify right side
   36,862x = 3,060,966,276
5. Step 5: Solve for x
   x = 3,060,966,276/36,862
6. Step 6: Final answer
   x = 83,038.53