Finding the Third Proportional to 19,876.50 and 42,123

Step by Step Solution

1. Step 1: Write the proportion equation
   19,876.50 : 42,123 = 42,123 : x
2. Step 2: Convert to fraction form
   19,876.50/42,123 = 42,123/x
3. Step 3: Cross multiply
   19,876.50x = 42,123 × 42,123
4. Step 4: Simplify right side
   19,876.50x = 1,774,347,129
5. Step 5: Solve for x
   x = 1,774,347,129/19,876.50
6. Step 6: Final answer
   x = 89,268.59