Finding the Third Proportional to 37,136 and 76,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,136 : 76,732 = 76,732 : x
2. Step 2: Convert to fraction form
   37,136/76,732 = 76,732/x
3. Step 3: Cross multiply
   37,136x = 76,732 × 76,732
4. Step 4: Simplify right side
   37,136x = 5,887,799,824
5. Step 5: Solve for x
   x = 5,887,799,824/37,136
6. Step 6: Final answer
   x = 158,546.96