Finding the Third Proportional to 33,054 and 53,210

Step by Step Solution

1. Step 1: Write the proportion equation
   33,054 : 53,210 = 53,210 : x
2. Step 2: Convert to fraction form
   33,054/53,210 = 53,210/x
3. Step 3: Cross multiply
   33,054x = 53,210 × 53,210
4. Step 4: Simplify right side
   33,054x = 2,831,304,100
5. Step 5: Solve for x
   x = 2,831,304,100/33,054
6. Step 6: Final answer
   x = 85,656.93