Finding the Third Proportional to 31,188 and 67,284

Step by Step Solution

1. Step 1: Write the proportion equation
   31,188 : 67,284 = 67,284 : x
2. Step 2: Convert to fraction form
   31,188/67,284 = 67,284/x
3. Step 3: Cross multiply
   31,188x = 67,284 × 67,284
4. Step 4: Simplify right side
   31,188x = 4,527,136,656
5. Step 5: Solve for x
   x = 4,527,136,656/31,188
6. Step 6: Final answer
   x = 145,156.36