Finding the Third Proportional to 25,152 and 52,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,152 : 52,366.50 = 52,366.50 : x
2. Step 2: Convert to fraction form
   25,152/52,366.50 = 52,366.50/x
3. Step 3: Cross multiply
   25,152x = 52,366.50 × 52,366.50
4. Step 4: Simplify right side
   25,152x = 2,742,250,322.25
5. Step 5: Solve for x
   x = 2,742,250,322.25/25,152
6. Step 6: Final answer
   x = 109,027.13