Finding the Third Proportional to 37,388 and 81,688

Step by Step Solution

1. Step 1: Write the proportion equation
   37,388 : 81,688 = 81,688 : x
2. Step 2: Convert to fraction form
   37,388/81,688 = 81,688/x
3. Step 3: Cross multiply
   37,388x = 81,688 × 81,688
4. Step 4: Simplify right side
   37,388x = 6,672,929,344
5. Step 5: Solve for x
   x = 6,672,929,344/37,388
6. Step 6: Final answer
   x = 178,477.84