Finding the Third Proportional to 52,609.50 and 81,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,609.50 : 81,769.50 = 81,769.50 : x
2. Step 2: Convert to fraction form
   52,609.50/81,769.50 = 81,769.50/x
3. Step 3: Cross multiply
   52,609.50x = 81,769.50 × 81,769.50
4. Step 4: Simplify right side
   52,609.50x = 6,686,251,130.25
5. Step 5: Solve for x
   x = 6,686,251,130.25/52,609.50
6. Step 6: Final answer
   x = 127,092.09