Finding the Third Proportional to 48,741.75 and 106,434

Step by Step Solution

1. Step 1: Write the proportion equation
   48,741.75 : 106,434 = 106,434 : x
2. Step 2: Convert to fraction form
   48,741.75/106,434 = 106,434/x
3. Step 3: Cross multiply
   48,741.75x = 106,434 × 106,434
4. Step 4: Simplify right side
   48,741.75x = 11,328,196,356
5. Step 5: Solve for x
   x = 11,328,196,356/48,741.75
6. Step 6: Final answer
   x = 232,412.59