Finding the Third Proportional to 37,065 and 78,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,065 : 78,828.50 = 78,828.50 : x
2. Step 2: Convert to fraction form
   37,065/78,828.50 = 78,828.50/x
3. Step 3: Cross multiply
   37,065x = 78,828.50 × 78,828.50
4. Step 4: Simplify right side
   37,065x = 6,213,932,412.25
5. Step 5: Solve for x
   x = 6,213,932,412.25/37,065
6. Step 6: Final answer
   x = 167,649.60