Finding the Third Proportional to 69,312 and 105,984

Step by Step Solution

1. Step 1: Write the proportion equation
   69,312 : 105,984 = 105,984 : x
2. Step 2: Convert to fraction form
   69,312/105,984 = 105,984/x
3. Step 3: Cross multiply
   69,312x = 105,984 × 105,984
4. Step 4: Simplify right side
   69,312x = 11,232,608,256
5. Step 5: Solve for x
   x = 11,232,608,256/69,312
6. Step 6: Final answer
   x = 162,058.64