Finding the Third Proportional to 37,737 and 79,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,737 : 79,969.50 = 79,969.50 : x
2. Step 2: Convert to fraction form
   37,737/79,969.50 = 79,969.50/x
3. Step 3: Cross multiply
   37,737x = 79,969.50 × 79,969.50
4. Step 4: Simplify right side
   37,737x = 6,395,120,930.25
5. Step 5: Solve for x
   x = 6,395,120,930.25/37,737
6. Step 6: Final answer
   x = 169,465.54