Finding the Third Proportional to 54,090 and 83,970

Step by Step Solution

1. Step 1: Write the proportion equation
   54,090 : 83,970 = 83,970 : x
2. Step 2: Convert to fraction form
   54,090/83,970 = 83,970/x
3. Step 3: Cross multiply
   54,090x = 83,970 × 83,970
4. Step 4: Simplify right side
   54,090x = 7,050,960,900
5. Step 5: Solve for x
   x = 7,050,960,900/54,090
6. Step 6: Final answer
   x = 130,356.09