Finding the Third Proportional to 37,735.50 and 51,066

Step by Step Solution

1. Step 1: Write the proportion equation
   37,735.50 : 51,066 = 51,066 : x
2. Step 2: Convert to fraction form
   37,735.50/51,066 = 51,066/x
3. Step 3: Cross multiply
   37,735.50x = 51,066 × 51,066
4. Step 4: Simplify right side
   37,735.50x = 2,607,736,356
5. Step 5: Solve for x
   x = 2,607,736,356/37,735.50
6. Step 6: Final answer
   x = 69,105.65