Finding the Third Proportional to 27,702 and 57,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,702 : 57,037.50 = 57,037.50 : x
2. Step 2: Convert to fraction form
   27,702/57,037.50 = 57,037.50/x
3. Step 3: Cross multiply
   27,702x = 57,037.50 × 57,037.50
4. Step 4: Simplify right side
   27,702x = 3,253,276,406.25
5. Step 5: Solve for x
   x = 3,253,276,406.25/27,702
6. Step 6: Final answer
   x = 117,438.32