Finding the Third Proportional to 39,823.50 and 61,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,823.50 : 61,123.50 = 61,123.50 : x
2. Step 2: Convert to fraction form
   39,823.50/61,123.50 = 61,123.50/x
3. Step 3: Cross multiply
   39,823.50x = 61,123.50 × 61,123.50
4. Step 4: Simplify right side
   39,823.50x = 3,736,082,252.25
5. Step 5: Solve for x
   x = 3,736,082,252.25/39,823.50
6. Step 6: Final answer
   x = 93,816.02