Finding the Third Proportional to 25,077 and 38,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,077 : 38,641.50 = 38,641.50 : x
2. Step 2: Convert to fraction form
   25,077/38,641.50 = 38,641.50/x
3. Step 3: Cross multiply
   25,077x = 38,641.50 × 38,641.50
4. Step 4: Simplify right side
   25,077x = 1,493,165,522.25
5. Step 5: Solve for x
   x = 1,493,165,522.25/25,077
6. Step 6: Final answer
   x = 59,543.23