Finding the Third Proportional to 33,835 and 72,854

Step by Step Solution

1. Step 1: Write the proportion equation
   33,835 : 72,854 = 72,854 : x
2. Step 2: Convert to fraction form
   33,835/72,854 = 72,854/x
3. Step 3: Cross multiply
   33,835x = 72,854 × 72,854
4. Step 4: Simplify right side
   33,835x = 5,307,705,316
5. Step 5: Solve for x
   x = 5,307,705,316/33,835
6. Step 6: Final answer
   x = 156,870.26