Finding the Third Proportional to 35,859 and 52,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,859 : 52,636.50 = 52,636.50 : x
2. Step 2: Convert to fraction form
   35,859/52,636.50 = 52,636.50/x
3. Step 3: Cross multiply
   35,859x = 52,636.50 × 52,636.50
4. Step 4: Simplify right side
   35,859x = 2,770,601,132.25
5. Step 5: Solve for x
   x = 2,770,601,132.25/35,859
6. Step 6: Final answer
   x = 77,263.76