Finding the Third Proportional to 27,688 and 59,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,688 : 59,000.50 = 59,000.50 : x
2. Step 2: Convert to fraction form
   27,688/59,000.50 = 59,000.50/x
3. Step 3: Cross multiply
   27,688x = 59,000.50 × 59,000.50
4. Step 4: Simplify right side
   27,688x = 3,481,059,000.25
5. Step 5: Solve for x
   x = 3,481,059,000.25/27,688
6. Step 6: Final answer
   x = 125,724.47