Finding the Third Proportional to 37,852.31 and 79,628.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,852.31 : 79,628.06 = 79,628.06 : x
2. Step 2: Convert to fraction form
   37,852.31/79,628.06 = 79,628.06/x
3. Step 3: Cross multiply
   37,852.31x = 79,628.06 × 79,628.06
4. Step 4: Simplify right side
   37,852.31x = 6,340,628,337.50
5. Step 5: Solve for x
   x = 6,340,628,337.50/37,852.31
6. Step 6: Final answer
   x = 167,509.67