Finding the Third Proportional to 35,669.50 and 53,406.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,669.50 : 53,406.75 = 53,406.75 : x
2. Step 2: Convert to fraction form
   35,669.50/53,406.75 = 53,406.75/x
3. Step 3: Cross multiply
   35,669.50x = 53,406.75 × 53,406.75
4. Step 4: Simplify right side
   35,669.50x = 2,852,280,945.56
5. Step 5: Solve for x
   x = 2,852,280,945.56/35,669.50
6. Step 6: Final answer
   x = 79,964.14