Finding the Third Proportional to 52,582.50 and 83,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,582.50 : 83,706.75 = 83,706.75 : x
2. Step 2: Convert to fraction form
   52,582.50/83,706.75 = 83,706.75/x
3. Step 3: Cross multiply
   52,582.50x = 83,706.75 × 83,706.75
4. Step 4: Simplify right side
   52,582.50x = 7,006,819,995.56
5. Step 5: Solve for x
   x = 7,006,819,995.56/52,582.50
6. Step 6: Final answer
   x = 133,253.84