Finding the Third Proportional to 54,324 and 83,946.38

Step by Step Solution

1. Step 1: Write the proportion equation
   54,324 : 83,946.38 = 83,946.38 : x
2. Step 2: Convert to fraction form
   54,324/83,946.38 = 83,946.38/x
3. Step 3: Cross multiply
   54,324x = 83,946.38 × 83,946.38
4. Step 4: Simplify right side
   54,324x = 7,046,993,875.64
5. Step 5: Solve for x
   x = 7,046,993,875.64/54,324
6. Step 6: Final answer
   x = 129,721.56