Finding the Third Proportional to 9,925 and 21,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,925 : 21,407.50 = 21,407.50 : x
2. Step 2: Convert to fraction form
   9,925/21,407.50 = 21,407.50/x
3. Step 3: Cross multiply
   9,925x = 21,407.50 × 21,407.50
4. Step 4: Simplify right side
   9,925x = 458,281,056.25
5. Step 5: Solve for x
   x = 458,281,056.25/9,925
6. Step 6: Final answer
   x = 46,174.41