Finding the Third Proportional to 27,123 and 58,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,123 : 58,756.50 = 58,756.50 : x
2. Step 2: Convert to fraction form
   27,123/58,756.50 = 58,756.50/x
3. Step 3: Cross multiply
   27,123x = 58,756.50 × 58,756.50
4. Step 4: Simplify right side
   27,123x = 3,452,326,292.25
5. Step 5: Solve for x
   x = 3,452,326,292.25/27,123
6. Step 6: Final answer
   x = 127,284.09