Finding the Third Proportional to 33,818 and 53,047

Step by Step Solution

1. Step 1: Write the proportion equation
   33,818 : 53,047 = 53,047 : x
2. Step 2: Convert to fraction form
   33,818/53,047 = 53,047/x
3. Step 3: Cross multiply
   33,818x = 53,047 × 53,047
4. Step 4: Simplify right side
   33,818x = 2,813,984,209
5. Step 5: Solve for x
   x = 2,813,984,209/33,818
6. Step 6: Final answer
   x = 83,209.66