Finding the Third Proportional to 38,772 and 83,688

Step by Step Solution

1. Step 1: Write the proportion equation
   38,772 : 83,688 = 83,688 : x
2. Step 2: Convert to fraction form
   38,772/83,688 = 83,688/x
3. Step 3: Cross multiply
   38,772x = 83,688 × 83,688
4. Step 4: Simplify right side
   38,772x = 7,003,681,344
5. Step 5: Solve for x
   x = 7,003,681,344/38,772
6. Step 6: Final answer
   x = 180,637.61