Finding the Third Proportional to 37,385 and 78,982

Step by Step Solution

1. Step 1: Write the proportion equation
   37,385 : 78,982 = 78,982 : x
2. Step 2: Convert to fraction form
   37,385/78,982 = 78,982/x
3. Step 3: Cross multiply
   37,385x = 78,982 × 78,982
4. Step 4: Simplify right side
   37,385x = 6,238,156,324
5. Step 5: Solve for x
   x = 6,238,156,324/37,385
6. Step 6: Final answer
   x = 166,862.55