Finding the Third Proportional to 36,792.98 and 78,009.33

Step by Step Solution

1. Step 1: Write the proportion equation
   36,792.98 : 78,009.33 = 78,009.33 : x
2. Step 2: Convert to fraction form
   36,792.98/78,009.33 = 78,009.33/x
3. Step 3: Cross multiply
   36,792.98x = 78,009.33 × 78,009.33
4. Step 4: Simplify right side
   36,792.98x = 6,085,455,274.51
5. Step 5: Solve for x
   x = 6,085,455,274.51/36,792.98
6. Step 6: Final answer
   x = 165,397.16