Finding the Third Proportional to 51,763.50 and 78,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,763.50 : 78,052.50 = 78,052.50 : x
2. Step 2: Convert to fraction form
   51,763.50/78,052.50 = 78,052.50/x
3. Step 3: Cross multiply
   51,763.50x = 78,052.50 × 78,052.50
4. Step 4: Simplify right side
   51,763.50x = 6,092,192,756.25
5. Step 5: Solve for x
   x = 6,092,192,756.25/51,763.50
6. Step 6: Final answer
   x = 117,692.83