Finding the Third Proportional to 23,619 and 38,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,619 : 38,056.50 = 38,056.50 : x
2. Step 2: Convert to fraction form
   23,619/38,056.50 = 38,056.50/x
3. Step 3: Cross multiply
   23,619x = 38,056.50 × 38,056.50
4. Step 4: Simplify right side
   23,619x = 1,448,297,192.25
5. Step 5: Solve for x
   x = 1,448,297,192.25/23,619
6. Step 6: Final answer
   x = 61,319.16