Finding the Third Proportional to 32,084 and 77,294

Step by Step Solution

1. Step 1: Write the proportion equation
   32,084 : 77,294 = 77,294 : x
2. Step 2: Convert to fraction form
   32,084/77,294 = 77,294/x
3. Step 3: Cross multiply
   32,084x = 77,294 × 77,294
4. Step 4: Simplify right side
   32,084x = 5,974,362,436
5. Step 5: Solve for x
   x = 5,974,362,436/32,084
6. Step 6: Final answer
   x = 186,210.02