Finding the Third Proportional to 38,196 and 56,123

Step by Step Solution

1. Step 1: Write the proportion equation
   38,196 : 56,123 = 56,123 : x
2. Step 2: Convert to fraction form
   38,196/56,123 = 56,123/x
3. Step 3: Cross multiply
   38,196x = 56,123 × 56,123
4. Step 4: Simplify right side
   38,196x = 3,149,791,129
5. Step 5: Solve for x
   x = 3,149,791,129/38,196
6. Step 6: Final answer
   x = 82,463.90