Finding the Third Proportional to 35,886 and 55,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886 : 55,084.50 = 55,084.50 : x
2. Step 2: Convert to fraction form
   35,886/55,084.50 = 55,084.50/x
3. Step 3: Cross multiply
   35,886x = 55,084.50 × 55,084.50
4. Step 4: Simplify right side
   35,886x = 3,034,302,140.25
5. Step 5: Solve for x
   x = 3,034,302,140.25/35,886
6. Step 6: Final answer
   x = 84,553.92