Finding the Third Proportional to 31,547.81 and 47,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,547.81 : 47,047.50 = 47,047.50 : x
2. Step 2: Convert to fraction form
   31,547.81/47,047.50 = 47,047.50/x
3. Step 3: Cross multiply
   31,547.81x = 47,047.50 × 47,047.50
4. Step 4: Simplify right side
   31,547.81x = 2,213,467,256.25
5. Step 5: Solve for x
   x = 2,213,467,256.25/31,547.81
6. Step 6: Final answer
   x = 70,162.31