Finding the Third Proportional to 29,427 and 37,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,427 : 37,783.50 = 37,783.50 : x
2. Step 2: Convert to fraction form
   29,427/37,783.50 = 37,783.50/x
3. Step 3: Cross multiply
   29,427x = 37,783.50 × 37,783.50
4. Step 4: Simplify right side
   29,427x = 1,427,592,872.25
5. Step 5: Solve for x
   x = 1,427,592,872.25/29,427
6. Step 6: Final answer
   x = 48,513.03