Finding the Third Proportional to 12,123 and 31,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 31,036.50 = 31,036.50 : x
2. Step 2: Convert to fraction form
   12,123/31,036.50 = 31,036.50/x
3. Step 3: Cross multiply
   12,123x = 31,036.50 × 31,036.50
4. Step 4: Simplify right side
   12,123x = 963,264,332.25
5. Step 5: Solve for x
   x = 963,264,332.25/12,123
6. Step 6: Final answer
   x = 79,457.59