Finding the Third Proportional to 25,461 and 38,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,461 : 38,533.50 = 38,533.50 : x
2. Step 2: Convert to fraction form
   25,461/38,533.50 = 38,533.50/x
3. Step 3: Cross multiply
   25,461x = 38,533.50 × 38,533.50
4. Step 4: Simplify right side
   25,461x = 1,484,830,622.25
5. Step 5: Solve for x
   x = 1,484,830,622.25/25,461
6. Step 6: Final answer
   x = 58,317.84