Finding the Third Proportional to 27,974 and 59,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,974 : 59,187.50 = 59,187.50 : x
2. Step 2: Convert to fraction form
   27,974/59,187.50 = 59,187.50/x
3. Step 3: Cross multiply
   27,974x = 59,187.50 × 59,187.50
4. Step 4: Simplify right side
   27,974x = 3,503,160,156.25
5. Step 5: Solve for x
   x = 3,503,160,156.25/27,974
6. Step 6: Final answer
   x = 125,229.15