Finding the Third Proportional to 38,784 and 58,896

Step by Step Solution

1. Step 1: Write the proportion equation
   38,784 : 58,896 = 58,896 : x
2. Step 2: Convert to fraction form
   38,784/58,896 = 58,896/x
3. Step 3: Cross multiply
   38,784x = 58,896 × 58,896
4. Step 4: Simplify right side
   38,784x = 3,468,738,816
5. Step 5: Solve for x
   x = 3,468,738,816/38,784
6. Step 6: Final answer
   x = 89,437.37