Finding the Third Proportional to 54,564 and 84,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,564 : 84,097.50 = 84,097.50 : x
2. Step 2: Convert to fraction form
   54,564/84,097.50 = 84,097.50/x
3. Step 3: Cross multiply
   54,564x = 84,097.50 × 84,097.50
4. Step 4: Simplify right side
   54,564x = 7,072,389,506.25
5. Step 5: Solve for x
   x = 7,072,389,506.25/54,564
6. Step 6: Final answer
   x = 129,616.40