Finding the Third Proportional to 38,965 and 91,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,965 : 91,256.50 = 91,256.50 : x
2. Step 2: Convert to fraction form
   38,965/91,256.50 = 91,256.50/x
3. Step 3: Cross multiply
   38,965x = 91,256.50 × 91,256.50
4. Step 4: Simplify right side
   38,965x = 8,327,748,792.25
5. Step 5: Solve for x
   x = 8,327,748,792.25/38,965
6. Step 6: Final answer
   x = 213,723.82