Finding the Third Proportional to 38,730 and 82,111

Step by Step Solution

1. Step 1: Write the proportion equation
   38,730 : 82,111 = 82,111 : x
2. Step 2: Convert to fraction form
   38,730/82,111 = 82,111/x
3. Step 3: Cross multiply
   38,730x = 82,111 × 82,111
4. Step 4: Simplify right side
   38,730x = 6,742,216,321
5. Step 5: Solve for x
   x = 6,742,216,321/38,730
6. Step 6: Final answer
   x = 174,082.53