Finding the Third Proportional to 38,083 and 55,822

Step by Step Solution

1. Step 1: Write the proportion equation
   38,083 : 55,822 = 55,822 : x
2. Step 2: Convert to fraction form
   38,083/55,822 = 55,822/x
3. Step 3: Cross multiply
   38,083x = 55,822 × 55,822
4. Step 4: Simplify right side
   38,083x = 3,116,095,684
5. Step 5: Solve for x
   x = 3,116,095,684/38,083
6. Step 6: Final answer
   x = 81,823.80