Finding the Third Proportional to 35,948.81 and 74,768.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,948.81 : 74,768.06 = 74,768.06 : x
2. Step 2: Convert to fraction form
   35,948.81/74,768.06 = 74,768.06/x
3. Step 3: Cross multiply
   35,948.81x = 74,768.06 × 74,768.06
4. Step 4: Simplify right side
   35,948.81x = 5,590,263,170.00
5. Step 5: Solve for x
   x = 5,590,263,170.00/35,948.81
6. Step 6: Final answer
   x = 155,506.20