Finding the Third Proportional to 38,776 and 83,742

Step by Step Solution

1. Step 1: Write the proportion equation
   38,776 : 83,742 = 83,742 : x
2. Step 2: Convert to fraction form
   38,776/83,742 = 83,742/x
3. Step 3: Cross multiply
   38,776x = 83,742 × 83,742
4. Step 4: Simplify right side
   38,776x = 7,012,722,564
5. Step 5: Solve for x
   x = 7,012,722,564/38,776
6. Step 6: Final answer
   x = 180,852.14