Finding the Third Proportional to 54,688 and 83,632

Step by Step Solution

1. Step 1: Write the proportion equation
   54,688 : 83,632 = 83,632 : x
2. Step 2: Convert to fraction form
   54,688/83,632 = 83,632/x
3. Step 3: Cross multiply
   54,688x = 83,632 × 83,632
4. Step 4: Simplify right side
   54,688x = 6,994,311,424
5. Step 5: Solve for x
   x = 6,994,311,424/54,688
6. Step 6: Final answer
   x = 127,894.81