Finding the Third Proportional to 37,874.25 and 79,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,874.25 : 79,852.50 = 79,852.50 : x
2. Step 2: Convert to fraction form
   37,874.25/79,852.50 = 79,852.50/x
3. Step 3: Cross multiply
   37,874.25x = 79,852.50 × 79,852.50
4. Step 4: Simplify right side
   37,874.25x = 6,376,421,756.25
5. Step 5: Solve for x
   x = 6,376,421,756.25/37,874.25
6. Step 6: Final answer
   x = 168,357.70