Finding the Third Proportional to 34,470 and 74,772

Step by Step Solution

1. Step 1: Write the proportion equation
   34,470 : 74,772 = 74,772 : x
2. Step 2: Convert to fraction form
   34,470/74,772 = 74,772/x
3. Step 3: Cross multiply
   34,470x = 74,772 × 74,772
4. Step 4: Simplify right side
   34,470x = 5,590,851,984
5. Step 5: Solve for x
   x = 5,590,851,984/34,470
6. Step 6: Final answer
   x = 162,194.72