Finding the Third Proportional to 35,865 and 51,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,865 : 51,223.50 = 51,223.50 : x
2. Step 2: Convert to fraction form
   35,865/51,223.50 = 51,223.50/x
3. Step 3: Cross multiply
   35,865x = 51,223.50 × 51,223.50
4. Step 4: Simplify right side
   35,865x = 2,623,846,952.25
5. Step 5: Solve for x
   x = 2,623,846,952.25/35,865
6. Step 6: Final answer
   x = 73,158.98