Finding the Third Proportional to 37,738 and 78,572

Step by Step Solution

1. Step 1: Write the proportion equation
   37,738 : 78,572 = 78,572 : x
2. Step 2: Convert to fraction form
   37,738/78,572 = 78,572/x
3. Step 3: Cross multiply
   37,738x = 78,572 × 78,572
4. Step 4: Simplify right side
   37,738x = 6,173,559,184
5. Step 5: Solve for x
   x = 6,173,559,184/37,738
6. Step 6: Final answer
   x = 163,589.99