Finding the Third Proportional to 46,761 and 70,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,761 : 70,633.50 = 70,633.50 : x
2. Step 2: Convert to fraction form
   46,761/70,633.50 = 70,633.50/x
3. Step 3: Cross multiply
   46,761x = 70,633.50 × 70,633.50
4. Step 4: Simplify right side
   46,761x = 4,989,091,322.25
5. Step 5: Solve for x
   x = 4,989,091,322.25/46,761
6. Step 6: Final answer
   x = 106,693.43