Finding the Third Proportional to 32,520 and 61,152

Step by Step Solution

1. Step 1: Write the proportion equation
   32,520 : 61,152 = 61,152 : x
2. Step 2: Convert to fraction form
   32,520/61,152 = 61,152/x
3. Step 3: Cross multiply
   32,520x = 61,152 × 61,152
4. Step 4: Simplify right side
   32,520x = 3,739,567,104
5. Step 5: Solve for x
   x = 3,739,567,104/32,520
6. Step 6: Final answer
   x = 114,992.84