Finding the Third Proportional to 34,320 and 74,784

Step by Step Solution

1. Step 1: Write the proportion equation
   34,320 : 74,784 = 74,784 : x
2. Step 2: Convert to fraction form
   34,320/74,784 = 74,784/x
3. Step 3: Cross multiply
   34,320x = 74,784 × 74,784
4. Step 4: Simplify right side
   34,320x = 5,592,646,656
5. Step 5: Solve for x
   x = 5,592,646,656/34,320
6. Step 6: Final answer
   x = 162,955.90