Finding the Third Proportional to 37,994 and 83,332

Step by Step Solution

1. Step 1: Write the proportion equation
   37,994 : 83,332 = 83,332 : x
2. Step 2: Convert to fraction form
   37,994/83,332 = 83,332/x
3. Step 3: Cross multiply
   37,994x = 83,332 × 83,332
4. Step 4: Simplify right side
   37,994x = 6,944,222,224
5. Step 5: Solve for x
   x = 6,944,222,224/37,994
6. Step 6: Final answer
   x = 182,771.55