Finding the Third Proportional to 34,080 and 74,160

Step by Step Solution

1. Step 1: Write the proportion equation
   34,080 : 74,160 = 74,160 : x
2. Step 2: Convert to fraction form
   34,080/74,160 = 74,160/x
3. Step 3: Cross multiply
   34,080x = 74,160 × 74,160
4. Step 4: Simplify right side
   34,080x = 5,499,705,600
5. Step 5: Solve for x
   x = 5,499,705,600/34,080
6. Step 6: Final answer
   x = 161,376.34