Finding the Third Proportional to 25,185 and 58,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,185 : 58,822.50 = 58,822.50 : x
2. Step 2: Convert to fraction form
   25,185/58,822.50 = 58,822.50/x
3. Step 3: Cross multiply
   25,185x = 58,822.50 × 58,822.50
4. Step 4: Simplify right side
   25,185x = 3,460,086,506.25
5. Step 5: Solve for x
   x = 3,460,086,506.25/25,185
6. Step 6: Final answer
   x = 137,386.80