Finding the Third Proportional to 35,733 and 77,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,733 : 77,743.50 = 77,743.50 : x
2. Step 2: Convert to fraction form
   35,733/77,743.50 = 77,743.50/x
3. Step 3: Cross multiply
   35,733x = 77,743.50 × 77,743.50
4. Step 4: Simplify right side
   35,733x = 6,044,051,792.25
5. Step 5: Solve for x
   x = 6,044,051,792.25/35,733
6. Step 6: Final answer
   x = 169,144.82