Finding the Third Proportional to 37,730 and 78,558

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 78,558 = 78,558 : x
2. Step 2: Convert to fraction form
   37,730/78,558 = 78,558/x
3. Step 3: Cross multiply
   37,730x = 78,558 × 78,558
4. Step 4: Simplify right side
   37,730x = 6,171,359,364
5. Step 5: Solve for x
   x = 6,171,359,364/37,730
6. Step 6: Final answer
   x = 163,566.38