Finding the Third Proportional to 37,074 and 79,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,074 : 79,069.50 = 79,069.50 : x
2. Step 2: Convert to fraction form
   37,074/79,069.50 = 79,069.50/x
3. Step 3: Cross multiply
   37,074x = 79,069.50 × 79,069.50
4. Step 4: Simplify right side
   37,074x = 6,251,985,830.25
5. Step 5: Solve for x
   x = 6,251,985,830.25/37,074
6. Step 6: Final answer
   x = 168,635.32