Finding the Third Proportional to 33,970 and 72,051

Step by Step Solution

1. Step 1: Write the proportion equation
   33,970 : 72,051 = 72,051 : x
2. Step 2: Convert to fraction form
   33,970/72,051 = 72,051/x
3. Step 3: Cross multiply
   33,970x = 72,051 × 72,051
4. Step 4: Simplify right side
   33,970x = 5,191,346,601
5. Step 5: Solve for x
   x = 5,191,346,601/33,970
6. Step 6: Final answer
   x = 152,821.51