Finding the Third Proportional to 29,758 and 61,981.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,758 : 61,981.75 = 61,981.75 : x
2. Step 2: Convert to fraction form
   29,758/61,981.75 = 61,981.75/x
3. Step 3: Cross multiply
   29,758x = 61,981.75 × 61,981.75
4. Step 4: Simplify right side
   29,758x = 3,841,737,333.06
5. Step 5: Solve for x
   x = 3,841,737,333.06/29,758
6. Step 6: Final answer
   x = 129,099.31