Finding the Third Proportional to 33,810 and 53,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,810 : 53,035.50 = 53,035.50 : x
2. Step 2: Convert to fraction form
   33,810/53,035.50 = 53,035.50/x
3. Step 3: Cross multiply
   33,810x = 53,035.50 × 53,035.50
4. Step 4: Simplify right side
   33,810x = 2,812,764,260.25
5. Step 5: Solve for x
   x = 2,812,764,260.25/33,810
6. Step 6: Final answer
   x = 83,193.26