Finding the Third Proportional to 36,535.50 and 78,012

Step by Step Solution

1. Step 1: Write the proportion equation
   36,535.50 : 78,012 = 78,012 : x
2. Step 2: Convert to fraction form
   36,535.50/78,012 = 78,012/x
3. Step 3: Cross multiply
   36,535.50x = 78,012 × 78,012
4. Step 4: Simplify right side
   36,535.50x = 6,085,872,144
5. Step 5: Solve for x
   x = 6,085,872,144/36,535.50
6. Step 6: Final answer
   x = 166,574.21