Finding the Third Proportional to 53,775 and 83,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,775 : 83,470.50 = 83,470.50 : x
2. Step 2: Convert to fraction form
   53,775/83,470.50 = 83,470.50/x
3. Step 3: Cross multiply
   53,775x = 83,470.50 × 83,470.50
4. Step 4: Simplify right side
   53,775x = 6,967,324,370.25
5. Step 5: Solve for x
   x = 6,967,324,370.25/53,775
6. Step 6: Final answer
   x = 129,564.38