Finding the Third Proportional to 37,332 and 83,007

Step by Step Solution

1. Step 1: Write the proportion equation
   37,332 : 83,007 = 83,007 : x
2. Step 2: Convert to fraction form
   37,332/83,007 = 83,007/x
3. Step 3: Cross multiply
   37,332x = 83,007 × 83,007
4. Step 4: Simplify right side
   37,332x = 6,890,162,049
5. Step 5: Solve for x
   x = 6,890,162,049/37,332
6. Step 6: Final answer
   x = 184,564.50