Finding the Third Proportional to 37,714.50 and 74,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,714.50 : 74,476.50 = 74,476.50 : x
2. Step 2: Convert to fraction form
   37,714.50/74,476.50 = 74,476.50/x
3. Step 3: Cross multiply
   37,714.50x = 74,476.50 × 74,476.50
4. Step 4: Simplify right side
   37,714.50x = 5,546,749,052.25
5. Step 5: Solve for x
   x = 5,546,749,052.25/37,714.50
6. Step 6: Final answer
   x = 147,072.06