Finding the Third Proportional to 82,014.50 and 107,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,014.50 : 107,692.50 = 107,692.50 : x
2. Step 2: Convert to fraction form
   82,014.50/107,692.50 = 107,692.50/x
3. Step 3: Cross multiply
   82,014.50x = 107,692.50 × 107,692.50
4. Step 4: Simplify right side
   82,014.50x = 11,597,674,556.25
5. Step 5: Solve for x
   x = 11,597,674,556.25/82,014.50
6. Step 6: Final answer
   x = 141,410.05