Finding the Third Proportional to 51,979.50 and 83,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,979.50 : 83,706.75 = 83,706.75 : x
2. Step 2: Convert to fraction form
   51,979.50/83,706.75 = 83,706.75/x
3. Step 3: Cross multiply
   51,979.50x = 83,706.75 × 83,706.75
4. Step 4: Simplify right side
   51,979.50x = 7,006,819,995.56
5. Step 5: Solve for x
   x = 7,006,819,995.56/51,979.50
6. Step 6: Final answer
   x = 134,799.68