Finding the Third Proportional to 31,113 and 46,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,113 : 46,181.50 = 46,181.50 : x
2. Step 2: Convert to fraction form
   31,113/46,181.50 = 46,181.50/x
3. Step 3: Cross multiply
   31,113x = 46,181.50 × 46,181.50
4. Step 4: Simplify right side
   31,113x = 2,132,730,942.25
5. Step 5: Solve for x
   x = 2,132,730,942.25/31,113
6. Step 6: Final answer
   x = 68,547.90