Finding the Third Proportional to 53,874.50 and 85,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,874.50 : 85,265.50 = 85,265.50 : x
2. Step 2: Convert to fraction form
   53,874.50/85,265.50 = 85,265.50/x
3. Step 3: Cross multiply
   53,874.50x = 85,265.50 × 85,265.50
4. Step 4: Simplify right side
   53,874.50x = 7,270,205,490.25
5. Step 5: Solve for x
   x = 7,270,205,490.25/53,874.50
6. Step 6: Final answer
   x = 134,947.06