Finding the Third Proportional to 29,760 and 58,784

Step by Step Solution

1. Step 1: Write the proportion equation
   29,760 : 58,784 = 58,784 : x
2. Step 2: Convert to fraction form
   29,760/58,784 = 58,784/x
3. Step 3: Cross multiply
   29,760x = 58,784 × 58,784
4. Step 4: Simplify right side
   29,760x = 3,455,558,656
5. Step 5: Solve for x
   x = 3,455,558,656/29,760
6. Step 6: Final answer
   x = 116,114.20