Finding the Third Proportional to 25,187 and 37,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,187 : 37,784.50 = 37,784.50 : x
2. Step 2: Convert to fraction form
   25,187/37,784.50 = 37,784.50/x
3. Step 3: Cross multiply
   25,187x = 37,784.50 × 37,784.50
4. Step 4: Simplify right side
   25,187x = 1,427,668,440.25
5. Step 5: Solve for x
   x = 1,427,668,440.25/25,187
6. Step 6: Final answer
   x = 56,682.75