Finding the Third Proportional to 37,733 and 78,566

Step by Step Solution

1. Step 1: Write the proportion equation
   37,733 : 78,566 = 78,566 : x
2. Step 2: Convert to fraction form
   37,733/78,566 = 78,566/x
3. Step 3: Cross multiply
   37,733x = 78,566 × 78,566
4. Step 4: Simplify right side
   37,733x = 6,172,616,356
5. Step 5: Solve for x
   x = 6,172,616,356/37,733
6. Step 6: Final answer
   x = 163,586.68