Finding the Third Proportional to 56,784.50 and 82,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,784.50 : 82,533.50 = 82,533.50 : x
2. Step 2: Convert to fraction form
   56,784.50/82,533.50 = 82,533.50/x
3. Step 3: Cross multiply
   56,784.50x = 82,533.50 × 82,533.50
4. Step 4: Simplify right side
   56,784.50x = 6,811,778,622.25
5. Step 5: Solve for x
   x = 6,811,778,622.25/56,784.50
6. Step 6: Final answer
   x = 119,958.42