Finding the Third Proportional to 37,152 and 84,000

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 84,000 = 84,000 : x
2. Step 2: Convert to fraction form
   37,152/84,000 = 84,000/x
3. Step 3: Cross multiply
   37,152x = 84,000 × 84,000
4. Step 4: Simplify right side
   37,152x = 7,056,000,000
5. Step 5: Solve for x
   x = 7,056,000,000/37,152
6. Step 6: Final answer
   x = 189,922.48