Finding the Third Proportional to 38,109 and 51,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,109 : 51,406.50 = 51,406.50 : x
2. Step 2: Convert to fraction form
   38,109/51,406.50 = 51,406.50/x
3. Step 3: Cross multiply
   38,109x = 51,406.50 × 51,406.50
4. Step 4: Simplify right side
   38,109x = 2,642,628,242.25
5. Step 5: Solve for x
   x = 2,642,628,242.25/38,109
6. Step 6: Final answer
   x = 69,343.94