Finding the Third Proportional to 31,114.13 and 47,602.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,114.13 : 47,602.69 = 47,602.69 : x
2. Step 2: Convert to fraction form
   31,114.13/47,602.69 = 47,602.69/x
3. Step 3: Cross multiply
   31,114.13x = 47,602.69 × 47,602.69
4. Step 4: Simplify right side
   31,114.13x = 2,266,015,857.22
5. Step 5: Solve for x
   x = 2,266,015,857.22/31,114.13
6. Step 6: Final answer
   x = 72,829.17