Finding the Third Proportional to 33,080 and 78,076

Step by Step Solution

1. Step 1: Write the proportion equation
   33,080 : 78,076 = 78,076 : x
2. Step 2: Convert to fraction form
   33,080/78,076 = 78,076/x
3. Step 3: Cross multiply
   33,080x = 78,076 × 78,076
4. Step 4: Simplify right side
   33,080x = 6,095,861,776
5. Step 5: Solve for x
   x = 6,095,861,776/33,080
6. Step 6: Final answer
   x = 184,276.35