Finding the Third Proportional to 37,816 and 83,360

Step by Step Solution

1. Step 1: Write the proportion equation
   37,816 : 83,360 = 83,360 : x
2. Step 2: Convert to fraction form
   37,816/83,360 = 83,360/x
3. Step 3: Cross multiply
   37,816x = 83,360 × 83,360
4. Step 4: Simplify right side
   37,816x = 6,948,889,600
5. Step 5: Solve for x
   x = 6,948,889,600/37,816
6. Step 6: Final answer
   x = 183,755.28