Finding the Third Proportional to 25,129 and 37,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,129 : 37,696.50 = 37,696.50 : x
2. Step 2: Convert to fraction form
   25,129/37,696.50 = 37,696.50/x
3. Step 3: Cross multiply
   25,129x = 37,696.50 × 37,696.50
4. Step 4: Simplify right side
   25,129x = 1,421,026,112.25
5. Step 5: Solve for x
   x = 1,421,026,112.25/25,129
6. Step 6: Final answer
   x = 56,549.25