Finding the Third Proportional to 37,386 and 87,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 87,732 = 87,732 : x
2. Step 2: Convert to fraction form
   37,386/87,732 = 87,732/x
3. Step 3: Cross multiply
   37,386x = 87,732 × 87,732
4. Step 4: Simplify right side
   37,386x = 7,696,903,824
5. Step 5: Solve for x
   x = 7,696,903,824/37,386
6. Step 6: Final answer
   x = 205,876.63