Finding the Third Proportional to 38,160 and 59,310

Step by Step Solution

1. Step 1: Write the proportion equation
   38,160 : 59,310 = 59,310 : x
2. Step 2: Convert to fraction form
   38,160/59,310 = 59,310/x
3. Step 3: Cross multiply
   38,160x = 59,310 × 59,310
4. Step 4: Simplify right side
   38,160x = 3,517,676,100
5. Step 5: Solve for x
   x = 3,517,676,100/38,160
6. Step 6: Final answer
   x = 92,182.29