Finding the Third Proportional to 36,059 and 77,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,059 : 77,445.50 = 77,445.50 : x
2. Step 2: Convert to fraction form
   36,059/77,445.50 = 77,445.50/x
3. Step 3: Cross multiply
   36,059x = 77,445.50 × 77,445.50
4. Step 4: Simplify right side
   36,059x = 5,997,805,470.25
5. Step 5: Solve for x
   x = 5,997,805,470.25/36,059
6. Step 6: Final answer
   x = 166,333.11