Finding the Third Proportional to 25,599 and 59,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,599 : 59,299.50 = 59,299.50 : x
2. Step 2: Convert to fraction form
   25,599/59,299.50 = 59,299.50/x
3. Step 3: Cross multiply
   25,599x = 59,299.50 × 59,299.50
4. Step 4: Simplify right side
   25,599x = 3,516,430,700.25
5. Step 5: Solve for x
   x = 3,516,430,700.25/25,599
6. Step 6: Final answer
   x = 137,365.94