Finding the Third Proportional to 37,695 and 79,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,695 : 79,264.50 = 79,264.50 : x
2. Step 2: Convert to fraction form
   37,695/79,264.50 = 79,264.50/x
3. Step 3: Cross multiply
   37,695x = 79,264.50 × 79,264.50
4. Step 4: Simplify right side
   37,695x = 6,282,860,960.25
5. Step 5: Solve for x
   x = 6,282,860,960.25/37,695
6. Step 6: Final answer
   x = 166,676.24