Finding the Third Proportional to 31,803 and 69,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,803 : 69,844.50 = 69,844.50 : x
2. Step 2: Convert to fraction form
   31,803/69,844.50 = 69,844.50/x
3. Step 3: Cross multiply
   31,803x = 69,844.50 × 69,844.50
4. Step 4: Simplify right side
   31,803x = 4,878,254,180.25
5. Step 5: Solve for x
   x = 4,878,254,180.25/31,803
6. Step 6: Final answer
   x = 153,389.75