Finding the Third Proportional to 27,405 and 58,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,405 : 58,966.50 = 58,966.50 : x
2. Step 2: Convert to fraction form
   27,405/58,966.50 = 58,966.50/x
3. Step 3: Cross multiply
   27,405x = 58,966.50 × 58,966.50
4. Step 4: Simplify right side
   27,405x = 3,477,048,122.25
5. Step 5: Solve for x
   x = 3,477,048,122.25/27,405
6. Step 6: Final answer
   x = 126,876.41