Finding the Third Proportional to 53,664 and 85,099

Step by Step Solution

1. Step 1: Write the proportion equation
   53,664 : 85,099 = 85,099 : x
2. Step 2: Convert to fraction form
   53,664/85,099 = 85,099/x
3. Step 3: Cross multiply
   53,664x = 85,099 × 85,099
4. Step 4: Simplify right side
   53,664x = 7,241,839,801
5. Step 5: Solve for x
   x = 7,241,839,801/53,664
6. Step 6: Final answer
   x = 134,947.82