Finding the Third Proportional to 51,970.50 and 83,697.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,970.50 : 83,697.75 = 83,697.75 : x
2. Step 2: Convert to fraction form
   51,970.50/83,697.75 = 83,697.75/x
3. Step 3: Cross multiply
   51,970.50x = 83,697.75 × 83,697.75
4. Step 4: Simplify right side
   51,970.50x = 7,005,313,355.06
5. Step 5: Solve for x
   x = 7,005,313,355.06/51,970.50
6. Step 6: Final answer
   x = 134,794.03