Finding the Third Proportional to 34,855.50 and 74,205.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,855.50 : 74,205.75 = 74,205.75 : x
2. Step 2: Convert to fraction form
   34,855.50/74,205.75 = 74,205.75/x
3. Step 3: Cross multiply
   34,855.50x = 74,205.75 × 74,205.75
4. Step 4: Simplify right side
   34,855.50x = 5,506,493,333.06
5. Step 5: Solve for x
   x = 5,506,493,333.06/34,855.50
6. Step 6: Final answer
   x = 157,980.62