Finding the Third Proportional to 37,815 and 79,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,815 : 79,498.50 = 79,498.50 : x
2. Step 2: Convert to fraction form
   37,815/79,498.50 = 79,498.50/x
3. Step 3: Cross multiply
   37,815x = 79,498.50 × 79,498.50
4. Step 4: Simplify right side
   37,815x = 6,320,011,502.25
5. Step 5: Solve for x
   x = 6,320,011,502.25/37,815
6. Step 6: Final answer
   x = 167,129.75