Finding the Third Proportional to 36,394 and 77,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,394 : 77,162.50 = 77,162.50 : x
2. Step 2: Convert to fraction form
   36,394/77,162.50 = 77,162.50/x
3. Step 3: Cross multiply
   36,394x = 77,162.50 × 77,162.50
4. Step 4: Simplify right side
   36,394x = 5,954,051,406.25
5. Step 5: Solve for x
   x = 5,954,051,406.25/36,394
6. Step 6: Final answer
   x = 163,599.81