Finding the Third Proportional to 35,014.50 and 53,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,014.50 : 53,824.50 = 53,824.50 : x
2. Step 2: Convert to fraction form
   35,014.50/53,824.50 = 53,824.50/x
3. Step 3: Cross multiply
   35,014.50x = 53,824.50 × 53,824.50
4. Step 4: Simplify right side
   35,014.50x = 2,897,076,800.25
5. Step 5: Solve for x
   x = 2,897,076,800.25/35,014.50
6. Step 6: Final answer
   x = 82,739.35