Finding the Third Proportional to 36,633.75 and 78,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,633.75 : 78,451.50 = 78,451.50 : x
2. Step 2: Convert to fraction form
   36,633.75/78,451.50 = 78,451.50/x
3. Step 3: Cross multiply
   36,633.75x = 78,451.50 × 78,451.50
4. Step 4: Simplify right side
   36,633.75x = 6,154,637,852.25
5. Step 5: Solve for x
   x = 6,154,637,852.25/36,633.75
6. Step 6: Final answer
   x = 168,004.58