Finding the Third Proportional to 34,884 and 54,090

Step by Step Solution

1. Step 1: Write the proportion equation
   34,884 : 54,090 = 54,090 : x
2. Step 2: Convert to fraction form
   34,884/54,090 = 54,090/x
3. Step 3: Cross multiply
   34,884x = 54,090 × 54,090
4. Step 4: Simplify right side
   34,884x = 2,925,728,100
5. Step 5: Solve for x
   x = 2,925,728,100/34,884
6. Step 6: Final answer
   x = 83,870.20