Finding the Third Proportional to 35,757 and 53,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,757 : 53,446.50 = 53,446.50 : x
2. Step 2: Convert to fraction form
   35,757/53,446.50 = 53,446.50/x
3. Step 3: Cross multiply
   35,757x = 53,446.50 × 53,446.50
4. Step 4: Simplify right side
   35,757x = 2,856,528,362.25
5. Step 5: Solve for x
   x = 2,856,528,362.25/35,757
6. Step 6: Final answer
   x = 79,887.25