Finding the Third Proportional to 71,816 and 109,672

Step by Step Solution

1. Step 1: Write the proportion equation
   71,816 : 109,672 = 109,672 : x
2. Step 2: Convert to fraction form
   71,816/109,672 = 109,672/x
3. Step 3: Cross multiply
   71,816x = 109,672 × 109,672
4. Step 4: Simplify right side
   71,816x = 12,027,947,584
5. Step 5: Solve for x
   x = 12,027,947,584/71,816
6. Step 6: Final answer
   x = 167,482.84