Finding the Third Proportional to 37,188 and 76,188

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 76,188 = 76,188 : x
2. Step 2: Convert to fraction form
   37,188/76,188 = 76,188/x
3. Step 3: Cross multiply
   37,188x = 76,188 × 76,188
4. Step 4: Simplify right side
   37,188x = 5,804,611,344
5. Step 5: Solve for x
   x = 5,804,611,344/37,188
6. Step 6: Final answer
   x = 156,088.29