Finding the Third Proportional to 34,029 and 72,984

Step by Step Solution

1. Step 1: Write the proportion equation
   34,029 : 72,984 = 72,984 : x
2. Step 2: Convert to fraction form
   34,029/72,984 = 72,984/x
3. Step 3: Cross multiply
   34,029x = 72,984 × 72,984
4. Step 4: Simplify right side
   34,029x = 5,326,664,256
5. Step 5: Solve for x
   x = 5,326,664,256/34,029
6. Step 6: Final answer
   x = 156,533.08