Finding the Third Proportional to 37,827 and 97,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 97,969.50 = 97,969.50 : x
2. Step 2: Convert to fraction form
   37,827/97,969.50 = 97,969.50/x
3. Step 3: Cross multiply
   37,827x = 97,969.50 × 97,969.50
4. Step 4: Simplify right side
   37,827x = 9,598,022,930.25
5. Step 5: Solve for x
   x = 9,598,022,930.25/37,827
6. Step 6: Final answer
   x = 253,734.71