Finding the Third Proportional to 37,733 and 78,567

Step by Step Solution

1. Step 1: Write the proportion equation
   37,733 : 78,567 = 78,567 : x
2. Step 2: Convert to fraction form
   37,733/78,567 = 78,567/x
3. Step 3: Cross multiply
   37,733x = 78,567 × 78,567
4. Step 4: Simplify right side
   37,733x = 6,172,773,489
5. Step 5: Solve for x
   x = 6,172,773,489/37,733
6. Step 6: Final answer
   x = 163,590.85