Finding the Third Proportional to 35,088 and 52,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,088 : 52,540.50 = 52,540.50 : x
2. Step 2: Convert to fraction form
   35,088/52,540.50 = 52,540.50/x
3. Step 3: Cross multiply
   35,088x = 52,540.50 × 52,540.50
4. Step 4: Simplify right side
   35,088x = 2,760,504,140.25
5. Step 5: Solve for x
   x = 2,760,504,140.25/35,088
6. Step 6: Final answer
   x = 78,673.74