Finding the Third Proportional to 29,758 and 64,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,758 : 64,857.50 = 64,857.50 : x
2. Step 2: Convert to fraction form
   29,758/64,857.50 = 64,857.50/x
3. Step 3: Cross multiply
   29,758x = 64,857.50 × 64,857.50
4. Step 4: Simplify right side
   29,758x = 4,206,495,306.25
5. Step 5: Solve for x
   x = 4,206,495,306.25/29,758
6. Step 6: Final answer
   x = 141,356.79