Finding the Third Proportional to 31,428 and 49,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,428 : 49,045.50 = 49,045.50 : x
2. Step 2: Convert to fraction form
   31,428/49,045.50 = 49,045.50/x
3. Step 3: Cross multiply
   31,428x = 49,045.50 × 49,045.50
4. Step 4: Simplify right side
   31,428x = 2,405,461,070.25
5. Step 5: Solve for x
   x = 2,405,461,070.25/31,428
6. Step 6: Final answer
   x = 76,538.79