Finding the Third Proportional to 65,784 and 101,892

Step by Step Solution

1. Step 1: Write the proportion equation
   65,784 : 101,892 = 101,892 : x
2. Step 2: Convert to fraction form
   65,784/101,892 = 101,892/x
3. Step 3: Cross multiply
   65,784x = 101,892 × 101,892
4. Step 4: Simplify right side
   65,784x = 10,381,979,664
5. Step 5: Solve for x
   x = 10,381,979,664/65,784
6. Step 6: Final answer
   x = 157,819.22